Cubical cospans and higher cobordisms (Cospans in algebraic topology, III)

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dc.creatorGrandis, Marco
dc.date2008-06-14
dc.date.accessioned2026-07-07T09:44:41Z
dc.date.available2026-07-07T09:44:41Z
dc.descriptionAfter two papers on weak cubical categories and {\it collarable} cospans, respectively, we put things together and construct a {\it weak} cubical category of cubical {\it collared} cospans of topological spaces. We also build a second structure, called a {\it quasi} cubical category, formed of arbitrary cubical cospans concatenated by homotopy pushouts. This structure, simpler but weaker, has {\it lax} identities. It contains a similar framework for cobordisms of manifolds with corners and could therefore be the basis to extend the study of TQFT's of Part II to higher cubical degree.
dc.descriptionTo be published in "Journal of Homotopy and Related Structures"
dc.identifierhttps://arxiv.org/abs/0806.2359
dc.identifierhttp://arxiv.org/abs/0806.2359
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162962
dc.subjectAlgebraic Topology
dc.subjectCategory Theory
dc.titleCubical cospans and higher cobordisms (Cospans in algebraic topology, III)
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