Simplicial Homeology and Homeotopy
Algebraic Topology
2011-07-04 v1
Abstract
In this paper, we define homeology group, reduced homeology group, cohomeology group and reduced cohomeology group on finite simpicial complexes and prove that these groups are homeomorphism invariants of polyhedra. We also define homeotopy type of polyhedra which is finer than homotopy type but coarser than homeomorphism class.
Cite
@article{arxiv.1107.0232,
title = {Simplicial Homeology and Homeotopy},
author = {Qibing Zheng and Feifei Fan},
journal= {arXiv preprint arXiv:1107.0232},
year = {2011}
}
Comments
13pages,2figures