Weighted Fundamental Group
Algebraic Topology
2020-02-03 v5
Abstract
In this paper, we develop and study the theory of weighted fundamental groups of weighted simplicial complexes. When all weights are 1, the weighted fundamental group reduces to the usual fundamental group as a special case. We also study weighted versions of classical theorems like van Kampen's theorem. In addition, we also investigate the abelianization, lower central series and applications of weighted fundamental groups.
Cite
@article{arxiv.1808.06184,
title = {Weighted Fundamental Group},
author = {Chengyuan Wu and Shiquan Ren and Jie Wu and Kelin Xia},
journal= {arXiv preprint arXiv:1808.06184},
year = {2020}
}
Comments
20 pages