Crossed complexes and homotopy groupoids as non commutative tools for higher dimensional local-to-global problems

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dc.creatorBrown, Ronald
dc.date2002-12-19
dc.date2008-10-10
dc.date.accessioned2026-07-07T10:08:49Z
dc.date.available2026-07-07T10:08:49Z
dc.descriptionWe outline the main features of the definitions and applications of crossed complexes and cubical $ω$-groupoids with connections. These give forms of higher homotopy groupoids, and new views of basic algebraic topology and the cohomology of groups, with the ability to obtain some non commutative results and compute some homotopy types.
dc.description30 pages, Latex2e, xypic v2. Replacement 14/07/07 More references. v3 Detailed changes 22/01/08 Change in Main Diagram. More references v4 10/10/08 More references and explanations of some points
dc.identifierhttps://arxiv.org/abs/math/0212274
dc.identifierhttp://arxiv.org/abs/math/0212274
dc.identifierFields Institute Communications 43 (2004) 101-130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171130
dc.subjectAlgebraic Topology
dc.subjectCategory Theory
dc.subject01-01, 16E05, 18D05, 18D35, 55P15, 55Q05
dc.titleCrossed complexes and homotopy groupoids as non commutative tools for higher dimensional local-to-global problems
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