Thin Elements and Commutative Shells in Cubical omega-categories

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dc.creatorHiggins, Philip J.
dc.date2004-08-23
dc.date.accessioned2026-07-07T05:11:28Z
dc.date.available2026-07-07T05:11:28Z
dc.descriptionThe relationships between thin elements, commutative shells and connections in cubical omega-categories are explored by a method which does not involve the use of pasting theory or nerves of omega-categories (both of which were previously needed for this purpose; see previous work by Al-Agl/Brown/Steiner. It is shown that composites of commutative shells are commutative and that thin structures are equivalent to appropriate sets of connections; this work extends to all dimensions the results proved in dimensions 2 and 3 by Brown/Mosa, and Brown/Kamps/Porter.
dc.description15 pages, xypic
dc.identifierhttps://arxiv.org/abs/math/0408306
dc.identifierhttp://arxiv.org/abs/math/0408306
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72252
dc.subjectCategory Theory
dc.subjectAlgebraic Topology
dc.subject18D05,18D35,55U99
dc.titleThin Elements and Commutative Shells in Cubical omega-categories
dc.typetext

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