On piecewise linear cell decompositions
Geometric Topology
2014-10-01 v2
Abstract
In this note, we introduce a class of cell decompositions of PL manifolds and polyhedra which are more general than triangulations yet not as general as CW complexes; we propose calling them PLCW complexes. The main result is an analog of Alexander's theorem: any two PLCW decompositions of the same polyhedron can be obtained from each other by a sequence of certain "elementary" moves. This definition is motivated by the needs of Topological Quantum Field Theory, especially extended theories as defined by Lurie.
Cite
@article{arxiv.1009.4227,
title = {On piecewise linear cell decompositions},
author = {Alexander Kirillov},
journal= {arXiv preprint arXiv:1009.4227},
year = {2014}
}
Comments
LaTeX2e, 11 pages