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12 2 1.1 11 6.9 11.4 1.1.4-5.2-10-8.2-13.5-10-11.1-5.2-30-15.3-35-27.3-2.5-6 2.8-13.8 9.4-13.6 6.9.2 13.4 7 17.5 12C70.9 34 75 43.8 86.3 47.4z"/> </svg> </span> <span class="webName">nLab</span> strongly compact topological space (Rev #1) </h1> <div class="navigation"> <span class="skipNav"><a href='#navEnd'>Skip the Navigation Links</a> | </span> <span style="display:inline-block; width: 0.3em;"></span> <a href="/nlab/show/HomePage" accesskey="H" title="Home page">Home Page</a> | <a href="/nlab/all_pages" accesskey="A" title="List of all pages">All Pages</a> | <a href="/nlab/latest_revisions" accesskey="U" title="Latest edits and page creations">Latest Revisions</a> | <a href="https://nforum.ncatlab.org/discussion/3779/#Item_3" title="Discuss this page in its dedicated thread on the nForum" style="color: black">Discuss this page</a> | <form accept-charset="utf-8" action="/nlab/search" id="navigationSearchForm" method="get"> <fieldset class="search"><input type="text" id="searchField" name="query" value="Search" style="display:inline-block; float: left;" onfocus="this.value == 'Search' ? this.value = '' : true" onblur="this.value == '' ? this.value = 'Search' : true" /></fieldset> </form> <span id='navEnd'></span> </div> <div id="revision"> <div class='rightHandSide'> <div class='toc clickDown' tabindex='0'> <h3 id='context'>Context</h3> <h4 id='topology'>Topology</h4> <div class='hide'> <p><strong><a class='existingWikiWord' href='/nlab/show/topology'>topology</a></strong> (<a class='existingWikiWord' href='/nlab/show/general+topology'>point-set topology</a>, <a class='existingWikiWord' href='/nlab/show/point-free+topology'>point-free topology</a>)</p> <p>see also <em><a class='existingWikiWord' href='/nlab/show/differential+topology'>differential topology</a></em>, <em><a class='existingWikiWord' href='/nlab/show/algebraic+topology'>algebraic topology</a></em>, <em><a class='existingWikiWord' href='/nlab/show/functional+analysis'>functional analysis</a></em> and <em><a class='existingWikiWord' href='/nlab/show/topological+homotopy+theory'>topological</a> <a class='existingWikiWord' href='/nlab/show/homotopy+theory'>homotopy theory</a></em></p> <p><a class='existingWikiWord' href='/nlab/show/Introduction+to+Topology'>Introduction</a></p> <p><strong>Basic concepts</strong></p> <ul> <li> <p><a class='existingWikiWord' href='/nlab/show/open+subspace'>open subset</a>, <a class='existingWikiWord' href='/nlab/show/closed+subspace'>closed subset</a>, <a class='existingWikiWord' href='/nlab/show/neighborhood'>neighbourhood</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/topological+space'>topological space</a>, <a class='existingWikiWord' href='/nlab/show/locale'>locale</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/topological+base'>base for the topology</a>, <a class='existingWikiWord' href='/nlab/show/neighborhood+base'>neighbourhood base</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/finer+topology'>finer/coarser topology</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/closed+subspace'>closure</a>, <a class='existingWikiWord' href='/nlab/show/interior'>interior</a>, <a class='existingWikiWord' href='/nlab/show/boundary'>boundary</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/separation+axioms'>separation</a>, <a class='existingWikiWord' href='/nlab/show/sober+topological+space'>sobriety</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/continuous+map'>continuous function</a>, <a class='existingWikiWord' href='/nlab/show/homeomorphism'>homeomorphism</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/uniformly+continuous+map'>uniformly continuous function</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/embedding+of+topological+spaces'>embedding</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/open+map'>open map</a>, <a class='existingWikiWord' href='/nlab/show/closed+map'>closed map</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/sequence'>sequence</a>, <a class='existingWikiWord' href='/nlab/show/net'>net</a>, <a class='existingWikiWord' href='/nlab/show/subnet'>sub-net</a>, <a class='existingWikiWord' href='/nlab/show/filter'>filter</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/convergence'>convergence</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/category'>category</a> <a class='existingWikiWord' href='/nlab/show/Top'>Top</a></p> <ul> <li><a class='existingWikiWord' href='/nlab/show/convenient+category+of+topological+spaces'>convenient category of topological spaces</a></li> </ul> </li> </ul> <p><strong><a href='Top#UniversalConstructions'>Universal constructions</a></strong></p> <ul> <li> <p><a class='existingWikiWord' href='/nlab/show/weak+topology'>initial topology</a>, <a class='existingWikiWord' href='/nlab/show/weak+topology'>final topology</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/subspace'>subspace</a>, <a class='existingWikiWord' href='/nlab/show/quotient+space'>quotient space</a>,</p> </li> <li> <p>fiber space, <a class='existingWikiWord' href='/nlab/show/space+attachment'>space attachment</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/product+topological+space'>product space</a>, <a class='existingWikiWord' href='/nlab/show/disjoint+union+topological+space'>disjoint union space</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/mapping+cylinder'>mapping cylinder</a>, <a class='existingWikiWord' href='/nlab/show/cocylinder'>mapping cocylinder</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/mapping+cone'>mapping cone</a>, <a class='existingWikiWord' href='/nlab/show/mapping+cocone'>mapping cocone</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/mapping+telescope'>mapping telescope</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/colimits+of+normal+spaces'>colimits of normal spaces</a></p> </li> </ul> <p><strong><a class='existingWikiWord' href='/nlab/show/stuff%2C+structure%2C+property'>Extra stuff, structure, properties</a></strong></p> <ul> <li> <p><a class='existingWikiWord' href='/nlab/show/nice+topological+space'>nice topological space</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/metric+space'>metric space</a>, <a class='existingWikiWord' href='/nlab/show/metric+topology'>metric topology</a>, <a class='existingWikiWord' href='/nlab/show/metrisable+topological+space'>metrisable space</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/Kolmogorov+topological+space'>Kolmogorov space</a>, <a class='existingWikiWord' href='/nlab/show/Hausdorff+space'>Hausdorff space</a>, <a class='existingWikiWord' href='/nlab/show/regular+space'>regular space</a>, <a class='existingWikiWord' href='/nlab/show/normal+space'>normal space</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/sober+topological+space'>sober space</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/compact+space'>compact space</a>, <a class='existingWikiWord' href='/nlab/show/proper+map'>proper map</a></p> <p><a class='existingWikiWord' href='/nlab/show/sequentially+compact+topological+space'>sequentially compact</a>, <a class='existingWikiWord' href='/nlab/show/countably+compact+topological+space'>countably compact</a>, <a class='existingWikiWord' href='/nlab/show/locally+compact+topological+space'>locally compact</a>, <a class='existingWikiWord' href='/nlab/show/sigma-compact+topological+space'>sigma-compact</a>, <a class='existingWikiWord' href='/nlab/show/paracompact+topological+space'>paracompact</a>, <a class='existingWikiWord' href='/nlab/show/countably+paracompact+topological+space'>countably paracompact</a>, <a class='existingWikiWord' href='/nlab/show/strongly+compact+topological+space'>strongly compact</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/compactly+generated+topological+space'>compactly generated space</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/second-countable+space'>second-countable space</a>, <a class='existingWikiWord' href='/nlab/show/first-countable+space'>first-countable space</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/contractible+space'>contractible space</a>, <a class='existingWikiWord' href='/nlab/show/locally+contractible+space'>locally contractible space</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/connected+space'>connected space</a>, <a class='existingWikiWord' href='/nlab/show/locally+connected+topological+space'>locally connected space</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/simply+connected+space'>simply-connected space</a>, <a class='existingWikiWord' href='/nlab/show/semi-locally+simply+connected+topological+space'>locally simply-connected space</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/cell+complex'>cell complex</a>, <a class='existingWikiWord' href='/nlab/show/CW+complex'>CW-complex</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/pointed+topological+space'>pointed space</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/topological+vector+space'>topological vector space</a>, <a class='existingWikiWord' href='/nlab/show/Banach+space'>Banach space</a>, <a class='existingWikiWord' href='/nlab/show/Hilbert+space'>Hilbert space</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/topological+group'>topological group</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/topological+vector+bundle'>topological vector bundle</a>, <a class='existingWikiWord' href='/nlab/show/topological+K-theory'>topological K-theory</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/topological+manifold'>topological manifold</a></p> </li> </ul> <p><strong>Examples</strong></p> <ul> <li> <p><a class='existingWikiWord' href='/nlab/show/empty+space'>empty space</a>, <a class='existingWikiWord' href='/nlab/show/point+space'>point space</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/discrete+object'>discrete space</a>, <a class='existingWikiWord' href='/nlab/show/codiscrete+space'>codiscrete space</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/Sierpinski+space'>Sierpinski space</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/order+topology'>order topology</a>, <a class='existingWikiWord' href='/nlab/show/specialization+topology'>specialization topology</a>, <a class='existingWikiWord' href='/nlab/show/Scott+topology'>Scott topology</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/Euclidean+space'>Euclidean space</a></p> <ul> <li><a class='existingWikiWord' href='/nlab/show/real+number'>real line</a>, <a class='existingWikiWord' href='/nlab/show/plane'>plane</a></li> </ul> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/cylinder+object'>cylinder</a>, <a class='existingWikiWord' href='/nlab/show/cone'>cone</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/sphere'>sphere</a>, <a class='existingWikiWord' href='/nlab/show/ball'>ball</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/circle'>circle</a>, <a class='existingWikiWord' href='/nlab/show/torus'>torus</a>, <a class='existingWikiWord' href='/nlab/show/annulus'>annulus</a>, <a class='existingWikiWord' href='/nlab/show/M%C3%B6bius+strip'>Moebius strip</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/polytope'>polytope</a>, <a class='existingWikiWord' href='/nlab/show/polyhedron'>polyhedron</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/projective+space'>projective space</a> (<a class='existingWikiWord' href='/nlab/show/real+projective+space'>real</a>, <a class='existingWikiWord' href='/nlab/show/complex+projective+space'>complex</a>)</p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/classifying+space'>classifying space</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/configuration+space+of+points'>configuration space</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/path'>path</a>, <a class='existingWikiWord' href='/nlab/show/loop'>loop</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/compact-open+topology'>mapping spaces</a>: <a class='existingWikiWord' href='/nlab/show/compact-open+topology'>compact-open topology</a>, <a class='existingWikiWord' href='/nlab/show/topology+of+uniform+convergence'>topology of uniform convergence</a></p> <ul> <li><a class='existingWikiWord' href='/nlab/show/loop+space'>loop space</a>, <a class='existingWikiWord' href='/nlab/show/path+space'>path space</a></li> </ul> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/Zariski+topology'>Zariski topology</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/Cantor+space'>Cantor space</a>, <a class='existingWikiWord' href='/nlab/show/Mandelbrot+set'>Mandelbrot space</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/Peano+curve'>Peano curve</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/line+with+two+origins'>line with two origins</a>, <a class='existingWikiWord' href='/nlab/show/long+line'>long line</a>, <a class='existingWikiWord' href='/nlab/show/Sorgenfrey+line'>Sorgenfrey line</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/K-topology'>K-topology</a>, <a class='existingWikiWord' href='/nlab/show/Dowker+space'>Dowker space</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/Warsaw+circle'>Warsaw circle</a>, <a class='existingWikiWord' href='/nlab/show/Hawaiian+earring+space'>Hawaiian earring space</a></p> </li> </ul> <p><strong>Basic statements</strong></p> <ul> <li> <p><a class='existingWikiWord' href='/nlab/show/Hausdorff+implies+sober'>Hausdorff spaces are sober</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/schemes+are+sober'>schemes are sober</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/continuous+images+of+compact+spaces+are+compact'>continuous images of compact spaces are compact</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/closed+subspaces+of+compact+Hausdorff+spaces+are+equivalently+compact+subspaces'>closed subspaces of compact Hausdorff spaces are equivalently compact subspaces</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/open+subspaces+of+compact+Hausdorff+spaces+are+locally+compact'>open subspaces of compact Hausdorff spaces are locally compact</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/quotient+projections+out+of+compact+Hausdorff+spaces+are+closed+precisely+if+the+codomain+is+Hausdorff'>quotient projections out of compact Hausdorff spaces are closed precisely if the codomain is Hausdorff</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/compact+spaces+equivalently+have+converging+subnets'>compact spaces equivalently have converging subnet of every net</a></p> <ul> <li> <p><a class='existingWikiWord' href='/nlab/show/Lebesgue+number+lemma'>Lebesgue number lemma</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/sequentially+compact+metric+spaces+are+equivalently+compact+metric+spaces'>sequentially compact metric spaces are equivalently compact metric spaces</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/compact+spaces+equivalently+have+converging+subnets'>compact spaces equivalently have converging subnet of every net</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/sequentially+compact+metric+spaces+are+totally+bounded'>sequentially compact metric spaces are totally bounded</a></p> </li> </ul> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/continuous+metric+space+valued+function+on+compact+metric+space+is+uniformly+continuous'>continuous metric space valued function on compact metric space is uniformly continuous</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/paracompact+Hausdorff+spaces+are+normal'>paracompact Hausdorff spaces are normal</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/paracompact+Hausdorff+spaces+equivalently+admit+subordinate+partitions+of+unity'>paracompact Hausdorff spaces equivalently admit subordinate partitions of unity</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/closed+injections+are+embeddings'>closed injections are embeddings</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/proper+maps+to+locally+compact+spaces+are+closed'>proper maps to locally compact spaces are closed</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/injective+proper+maps+to+locally+compact+spaces+are+equivalently+the+closed+embeddings'>injective proper maps to locally compact spaces are equivalently the closed embeddings</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/locally+compact+and+sigma-compact+spaces+are+paracompact'>locally compact and sigma-compact spaces are paracompact</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/locally+compact+and+second-countable+spaces+are+sigma-compact'>locally compact and second-countable spaces are sigma-compact</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/second-countable+regular+spaces+are+paracompact'>second-countable regular spaces are paracompact</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/CW-complexes+are+paracompact+Hausdorff+spaces'>CW-complexes are paracompact Hausdorff spaces</a></p> </li> </ul> <p><strong>Theorems</strong></p> <ul> <li> <p><a class='existingWikiWord' href='/nlab/show/Urysohn%27s+lemma'>Urysohn's lemma</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/Tietze+extension+theorem'>Tietze extension theorem</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/Tychonoff+theorem'>Tychonoff theorem</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/tube+lemma'>tube lemma</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/Michael%27s+theorem'>Michael's theorem</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/Brouwer%27s+fixed+point+theorem'>Brouwer's fixed point theorem</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/topological+invariance+of+dimension'>topological invariance of dimension</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/Jordan+curve+theorem'>Jordan curve theorem</a></p> </li> </ul> <p><strong>Analysis Theorems</strong></p> <ul> <li> <p><a class='existingWikiWord' href='/nlab/show/Heine-Borel+theorem'>Heine-Borel theorem</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/intermediate+value+theorem'>intermediate value theorem</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/extreme+value+theorem'>extreme value theorem</a></p> </li> </ul> <p><strong><a class='existingWikiWord' href='/nlab/show/topological+homotopy+theory'>topological homotopy theory</a></strong></p> <ul> <li> <p><a class='existingWikiWord' href='/nlab/show/homotopy'>left homotopy</a>, <a class='existingWikiWord' href='/nlab/show/homotopy'>right homotopy</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/homotopy+equivalence'>homotopy equivalence</a>, <a class='existingWikiWord' href='/nlab/show/deformation+retract'>deformation retract</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/fundamental+group'>fundamental group</a>, <a class='existingWikiWord' href='/nlab/show/covering+space'>covering space</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/fundamental+theorem+of+covering+spaces'>fundamental theorem of covering spaces</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/homotopy+group'>homotopy group</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/weak+homotopy+equivalence'>weak homotopy equivalence</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/Whitehead+theorem'>Whitehead's theorem</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/Freudenthal+suspension+theorem'>Freudenthal suspension theorem</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/nerve+theorem'>nerve theorem</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/homotopy+extension+property'>homotopy extension property</a>, <a class='existingWikiWord' href='/nlab/show/Hurewicz+cofibration'>Hurewicz cofibration</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/topological+cofiber+sequence'>cofiber sequence</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/Str%C3%B8m+model+structure'>Strøm model category</a></p> </li> <li> <p><a class='existingWikiWord' href='/nlab/show/classical+model+structure+on+topological+spaces'>classical model structure on topological spaces</a></p> </li> </ul> </div> </div> </div> <h2 id='references'>References</h2> <ul> <li> <p>Maximilian Ganster, <em>Some remarks on strongly compact spaces and semi compact spaces</em>, Bull. Malaysian Math. Soc. (10) 2 (1987), 67–81. (<a href='http://www.math.tugraz.at/~ganster/papers/17.pdf'>pdf</a>)</p> </li> <li> <p>S. Jafari and T. Noiri, <em>More on Strongly Compact Spaces</em>, Missouri J. Math. Sci. Volume 19, Issue 1 (2007), 52-61. (<a href='http://projecteuclid.org/euclid.mjms/1316092238'>Euclid</a>)</p> </li> </ul> <p> </p> <p> </p> </div>  <div class="revisedby"> <p> Revision on May 2, 2012 at 16:46:45 by <a href="/nlab/author/Urs+Schreiber" style="color: #005c19">Urs Schreiber</a> See the <a href="/nlab/history/strongly+compact+topological+space" style="color: #005c19">history</a> of this page for a list of all contributions to it. </p> </div> <div class="navigation navfoot"> <a href="https://nforum.ncatlab.org/discussion/3779/#Item_3">Discuss</a><span class="backintime"><a href="/nlab/show/strongly+compact+topological+space" accesskey="F" class="navlinkbackintime" id="to_next_revision" rel="nofollow">Next revision</a> (to current)</span><a href="/nlab/show/strongly+compact+topological+space" class="navlink" id="to_current_revision">Current version of page</a><a href="/nlab/history/strongly+compact+topological+space" accesskey="S" class="navlink" id="history" rel="nofollow">History (1 revision)</a><a href="/nlab/rollback/strongly+compact+topological+space?rev=1" class="navlink" id="rollback" rel="nofollow">Rollback</a> <a href="/nlab/revision/strongly+compact+topological+space/1/cite" style="color: black">Cite</a> <a href="/nlab/source/strongly+compact+topological+space/1" id="view_source" rel="nofollow">Source</a> </div> </div>  </div>  </body> </html>