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

Marco Grandis
2008 arXiv   pre-print
After two papers on weak cubical categories and collarable cospans, respectively, we put things together and construct a weak cubical category of cubical collared cospans of topological spaces. We also build a second structure, called a quasi cubical category, formed of arbitrary cubical cospans concatenated by homotopy pushouts. This structure, simpler but weaker, has lax identities. It contains a similar framework for cobordisms of manifolds with corners and could therefore be the basis to
more » ... end the study of TQFT's of Part II to higher cubical degree.
arXiv:0806.2359v1 fatcat:id52h55kprf4vg4qcwleofdg74