Moore hyperrectangles on a space form a strict cubical omegacategory
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 omegacategory. This also has the structure of connections in the sense of Brown and Higgins, but cancellation of connections does not hold.
 Publication:

arXiv eprints
 Pub Date:
 September 2009
 arXiv:
 arXiv:0909.2212
 Bibcode:
 2009arXiv0909.2212B
 Keywords:

 Mathematics  Category Theory;
 Mathematics  Algebraic Topology;
 18D05;
 55P99;
 55U40
 EPrint:
 version 2: 7 pages. Added