The twisted Cartesian model for the double path fibration
代数拓扑
2007-05-23 v2
摘要
In the paper the notion of truncating twisting function from a cubical set to a permutahedral set and the corresponding notion of twisted Cartesian product of these sets are introduced. The latter becomes a permutocubical set that models in particular the path fibration on a loop space. The chain complex of this twisted Cartesian product in fact is a comultiplicative twisted tensor product of cubical chains of base and permutahedral chains of fibre. This construction is formalized as a theory of twisted tensor products for Hirsch algebras.
引用
@article{arxiv.math/0210224,
title = {The twisted Cartesian model for the double path fibration},
author = {Tornike Kadeishvili and Samson Saneblidze},
journal= {arXiv preprint arXiv:math/0210224},
year = {2007}
}
备注
37 pages, 8 figures, This final version (10-01-04) clarifies a number of issues in earlier version and includes computational examples