Non-homogeneous combinatorial manifolds
Geometric Topology
2011-08-26 v1
Abstract
In this paper we extend the classical theory of combinatorial manifolds to the non-homogeneous setting. NH-manifolds are polyhedra which are locally like Euclidean spaces of varying dimensions. We show that many of the properties of classical manifolds remain valid in this wider context. NH-manifolds appear naturally when studying Pachner moves on (classical) manifolds. We introduce the notion of NH-factorization and prove that PL-homeomorphic manifolds are related by a finite sequence of NH-factorizations involving NH-manifolds.
Keywords
Cite
@article{arxiv.1108.4955,
title = {Non-homogeneous combinatorial manifolds},
author = {Nicolas Ariel Capitelli and Elias Gabriel Minian},
journal= {arXiv preprint arXiv:1108.4955},
year = {2011}
}
Comments
18 pages, 6 figures