Thin Elements and Commutative Shells in Cubical omega-categories
范畴论
2007-05-23 v1 代数拓扑
摘要
The relationships between thin elements, commutative shells and connections in cubical omega-categories are explored by a method which does not involve the use of pasting theory or nerves of omega-categories (both of which were previously needed for this purpose; see previous work by Al-Agl/Brown/Steiner. It is shown that composites of commutative shells are commutative and that thin structures are equivalent to appropriate sets of connections; this work extends to all dimensions the results proved in dimensions 2 and 3 by Brown/Mosa, and Brown/Kamps/Porter.
引用
@article{arxiv.math/0408306,
title = {Thin Elements and Commutative Shells in Cubical omega-categories},
author = {Philip J. Higgins},
journal= {arXiv preprint arXiv:math/0408306},
year = {2007}
}
备注
15 pages, xypic