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The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. <a href="https://mathscinet.ams.org/mathscinet/search/journal/profile?groupId=3285" target="new">Subscribers to MathSciNet</a> may click through for more detailed information. </div> </p> </section> </div> </header> <main> <section class="row"> <nav class="col-md-3">  <nav class="journals-list-group"> <script type="text/javascript" src="/journals/javascript/proc_nav.js"></script> <a href="/journals/journals"><i class="fa-sharp fa-solid fa-house"></i> Journals Home</a> <a href="/epubsearch">eContent Search</a> <a href="/aboutproc" class="">About Proceedings of the American Mathematical Society</a> <a href="/procedit" class="">Editorial Board</a> <a href="/proc/procsubmit.html" class="">Author and Submission Information</a> <a href="/policies/policies" class="" target="_blank">Journal Policies</a> <a href="/subscriberinfo" class="" target="_blank">Subscription Information</a> <a href="/jemail" class="" target="_blank"> Journal Email Notifications</a> <hr> <a href="/pairing/pair_my_device.html"><i class="fa fa-globe" aria-hidden="true"></i> Remote Access</a> </nav> </nav> <article class="col-md-9"> <section>   <div class="row">  <ul class="nav nav-tabs"> <li role="presentation" class=""> <script type="text/javascript" src="/journals/javascript/proc_nav.js"></script> <a href="javascript: goto_most_recent_proc()" aria-controls="currissue" role="tab"> Current volume </a> </li> <li role="presentation" class="">  <a href="/cgi-bin/mstrack/accepted_papers/proc?active=press" aria-controls="press" role="tab">Articles in press </a> </li> <li role="presentation" class=""> <a href="/journals/proc/0000-000-00?active=recent"> Recently published</a> </li> <li role="presentation" class=""> <a href="/journals/proc/all_issues.html?active=allissues"> All issues : 1950 – Present </a> </li> </ul> <script src="/js/abstracts/ajaxcall.js"></script> </div> <p> </p> <style> #navCell { display: none;} </style> <script src="/journals/javascript/references.js" type="text/javascript"></script> <script async src="/js/mj.js"></script>  <script src="https://platform-api.sharethis.com/js/sharethis.js#property=598c93d1e2587a001253a011&product=unknown" async="async"></script>  <div class="sharethis-inline-share-buttons"></div>   <article class="col-md-12"> <header> <h2>Universal equivariant bundles<br> <small>HTML articles powered by AMS MathViewer <a href="/AMSMathViewer"><i class="fa fa-info-circle" aria-label="about MathViewer"></i></a></small></h2> <dl> <dd>by <a href="https://mathscinet.ams.org/mathscinet/search/authors.html?authorName=Murayama%2C%20Mitutaka">Mitutaka Murayama</a> and <a href="https://mathscinet.ams.org/mathscinet/search/authors.html?authorName=Shimakawa%2C%20Kazuhisa">Kazuhisa Shimakawa</a>  </dd> <dd>Proc. Amer. Math. Soc. <strong>123</strong> (1995), 1289-1295 </dd> <dd> DOI: https://doi.org/10.1090/S0002-9939-1995-1231040-9 </dd> <dd> </dd> <dd class="mathviewerPDFLink"> <a href="S0002-9939-1995-1231040-9.pdf"><small>PDF</small></a> | <a href="https://www.copyright.com/openurl.do?issn=1088-6826&WT.mc.it=American%20Mathematical%20Society" target="_blank">Request permission</a> </dd> </dl> </header> <section id="Abstract"> <h2>Abstract:</h2> We present a method of functorially constructing universal equivariant bundles. </section> <section id="references"> <details> <summary>References</summary> <ul><li><a href="https://mathscinet.ams.org/mathscinet/search/authors.html?authorName=Atiyah%2C%20M.%20F.">M. F. Atiyah</a>, <em>$K$-theory and reality</em>, Quart. J. Math. Oxford Ser. (2) <strong>17</strong> (1966), 367–386. <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=206940">MR <strong>206940</strong></a>, DOI <a href="https://doi.org/10.1093/qmath/17.1.367">10.1093/qmath/17.1.367</a></li> <li><a href="https://mathscinet.ams.org/mathscinet/search/authors.html?authorName=Bierstone%2C%20Edward">Edward Bierstone</a>, <em>The equivariant covering homotopy property for differentiable $G$-fibre bundles</em>, J. Differential Geometry <strong>8</strong> (1973), 615–622. <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=341509">MR <strong>341509</strong></a></li> <li><a href="https://mathscinet.ams.org/mathscinet/search/authors.html?authorName=Bredon%2C%20Glen%20E.">Glen E. 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