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010   $a981-287-257-4
024 7 $a10.1007/978-981-287-257-9
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035   $a(EBL)1966747
035   $a(OCoLC)897810379
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035   $a(PQKBTitleCode)TC0001408327
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035   $a(DE-He213)978-981-287-257-9
035   $a(PPN)183149351
035   $a(EXLCZ)993710000000311915
100   $a20141204d2014      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aNon-metrisable Manifolds /$fby David Gauld
205   $a1st ed. 2014.
210  1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2014.
215   $a1 online resource (214 p.)
300   $aDescription based upon print version of record.
311   $a981-287-256-6 
320   $aIncludes bibliographical references and index at the end of each chapters.
327   $aTopological Manifolds -- Edge of the World: When are Manifolds Metrisable? -- Geometric Tools -- Type I Manifolds and the Bagpipe Theorem -- Homeomorphisms and Dynamics on Non-Metrisable Manifolds -- Are Perfectly Normal Manifolds Metrisable? -- Smooth Manifolds -- Foliations on Non-Metrisable Manifolds -- Non-Hausdorff Manifolds and Foliations.
330   $aManifolds fall naturally into two classes depending on whether they can be fitted with a distance measuring function or not. The former, metrisable manifolds, and especially compact manifolds, have been intensively studied by topologists for over a century, whereas the latter, non-metrisable manifolds, are much more abundant but have a more modest history, having become of increasing interest only over the past 40 years or so. The first book on this topic, this book ranges from criteria for metrisability, dynamics on non-metrisable manifolds, Nyikos?s Bagpipe Theorem and whether perfectly normal manifolds are metrisable to structures on manifolds, especially the abundance of exotic differential structures and the dearth of foliations on the long plane. A rigid foliation of the Euclidean plane is described. This book is intended for graduate students and mathematicians who are curious about manifolds beyond the metrisability wall, and especially the use of Set Theory as a tool.
606   $aManifolds (Mathematics)
606   $aComplex manifolds
606   $aStatistical physics
606   $aAlgebraic topology
606   $aManifolds and Cell Complexes (incl. Diff.Topology)$3https://scigraph.springernature.com/ontologies/product-market-codes/M28027
606   $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020
606   $aAlgebraic Topology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28019
615  0$aManifolds (Mathematics)
615  0$aComplex manifolds.
615  0$aStatistical physics.
615  0$aAlgebraic topology.
615 14$aManifolds and Cell Complexes (incl. Diff.Topology).
615 24$aApplications of Nonlinear Dynamics and Chaos Theory.
615 24$aAlgebraic Topology.
676   $a510
676   $a514.2
676   $a514.34
676   $a621
700   $aGauld$b David$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721164
906   $aBOOK
912   $a9910299970703321
996   $aNon-metrisable manifolds$91410052
997   $aUNINA