Clapp-Puppe Type Lusternik-Schnirelmann (Co)category in a Model Category

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dc.creatorYau, Donald
dc.date2001-04-27
dc.date.accessioned2026-07-07T04:41:30Z
dc.date.available2026-07-07T04:41:30Z
dc.descriptionWe introduce Clapp-Puppe type generalized Lusternik-Schnirelmann (co)category in a Quillen model category. We establish some of their basic properties and give various characterizations of them. As the first application of these characterizations, we show that our generalized (co)category is invariant under Quillen modelization equivalences. In particular, generalized (co)category of spaces and simplicial sets coincide. Another application of these characterizations is to define and study rational cocategory. Various other applications are also given.
dc.descriptionTo appear in J. Korean Math. Soc
dc.identifierhttps://arxiv.org/abs/math/0104267
dc.identifierhttp://arxiv.org/abs/math/0104267
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61382
dc.subjectAlgebraic Topology
dc.subject55M30; 55P30, 55U35
dc.titleClapp-Puppe Type Lusternik-Schnirelmann (Co)category in a Model Category
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