2009/09/11 by Ronald Brown, Brown, Ronald
Mathematics · #18D05 #55P99 #55U40 #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #math.AT #math.CT #msc:18D05 #msc:55P99 #msc:55U40
paper · pdf · doi:10.48550/arxiv.0909.2212
version 2: 7 pages. Added; introduction; full details of the laws satisfied and not satisfied; a brief account of tensor products; more references; 2 figures version 3: removed statement about iteration of the 1-dimensional construction, and added more information about homotopies of paths
A question of Jack Morava is answered by generalising the notion of Moore paths to that of Moore hyperrectangles, so obtaining a strict cubical omega-category. This also has the structure of connections in the sense of Brown and Higgins, but cancellation of connections does not hold.