Moore hyperrectangles on a space form a strict cubical omega-category
Category Theory
2009-09-21 v4 Algebraic Topology
Abstract
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.
Keywords
Cite
@article{arxiv.0909.2212,
title = {Moore hyperrectangles on a space form a strict cubical omega-category},
author = {Ronald Brown},
journal= {arXiv preprint arXiv:0909.2212},
year = {2009}
}
Comments
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