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Paolo Vitolo - Academia.edu

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href="https://www.academia.edu/30082919/When_is_Kuratowski_convergence_topological"><img alt="Research paper thumbnail of When is Kuratowski convergence topological?" class="work-thumbnail" src="https://attachments.academia-assets.com/50534228/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/30082919/When_is_Kuratowski_convergence_topological">When is Kuratowski convergence topological?</a></div><div class="wp-workCard_item"><span>Filomat</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="021b1d4d8ec805156c74ef29094765c9" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="30082916"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/30082916/The_representation_of_weighted_quasi_metric_spaces"><img alt="Research paper thumbnail of The representation of weighted quasi-metric spaces" class="work-thumbnail" src="https://attachments.academia-assets.com/50534226/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/30082916/The_representation_of_weighted_quasi_metric_spaces">The representation of weighted quasi-metric spaces</a></div><div class="wp-workCard_item"><span>Rendiconti dell&#39;Istituto di Matematica dell&#39;Universita di Trieste</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In this note we continue the investigation carried out in [Topology Appl. 65, No. 1, 101-104 (199...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In this note we continue the investigation carried out in [Topology Appl. 65, No. 1, 101-104 (1995; Zbl 0828.54024)]. We show that every weighted quasi-metric space can be identified with a subspace of a space of some canonical type, which is constructed from a metric space. We also present a very simple method to construct a weighted quasi-metric space, as the graph of a function defined on a metric space, and show that every weighted quasi-metric space arises in this way. Similar results may be obtained if we drop the requirement that the weight function have nonnegative values.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="f0d9e7cf9803f9c5ba4e1628aab10a83" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{&quot;attachment_id&quot;:50534226,&quot;asset_id&quot;:30082916,&quot;asset_type&quot;:&quot;Work&quot;,&quot;button_location&quot;:&quot;profile&quot;}" href="https://www.academia.edu/attachments/50534226/download_file?st=MTczMjc1NDAxMCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="30082916"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="30082916"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 30082916; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=30082916]").text(description); $(".js-view-count[data-work-id=30082916]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 30082916; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='30082916']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 30082916, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "f0d9e7cf9803f9c5ba4e1628aab10a83" } } $('.js-work-strip[data-work-id=30082916]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":30082916,"title":"The representation of weighted quasi-metric spaces","translated_title":"","metadata":{"abstract":"In this note we continue the investigation carried out in [Topology Appl. 65, No. 1, 101-104 (1995; Zbl 0828.54024)]. 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Our aim is to compare lower, upper and ``two-sided&amp;amp;#39;&amp;amp;#39; convergences generated by two compatible uniformities and two arbitrary bornologies. 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="30082916"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/30082916/The_representation_of_weighted_quasi_metric_spaces"><img alt="Research paper thumbnail of The representation of weighted quasi-metric spaces" class="work-thumbnail" src="https://attachments.academia-assets.com/50534226/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/30082916/The_representation_of_weighted_quasi_metric_spaces">The representation of weighted quasi-metric spaces</a></div><div class="wp-workCard_item"><span>Rendiconti dell&#39;Istituto di Matematica dell&#39;Universita di Trieste</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In this note we continue the investigation carried out in [Topology Appl. 65, No. 1, 101-104 (199...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">In this note we continue the investigation carried out in [Topology Appl. 65, No. 1, 101-104 (1995; 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Our aim is to compare lower, upper and ``two-sided&amp;amp;#39;&amp;amp;#39; convergences generated by two compatible uniformities and two arbitrary bornologies. 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