Fundamental Groups of Simplicial Complexes
Algebraic Topology
2017-01-17 v2
Abstract
We define two different simplicial complexes, the common divisor simplicial complex and the prime divisor simplicial complex, from a set of integers, and explore their similarities. We will define a map between the two simplicial complexes, and use this map to show that for any set of integers, the fundamental groups of the resulting simplicial complexes are isomorphic.
Cite
@article{arxiv.1605.08343,
title = {Fundamental Groups of Simplicial Complexes},
author = {Erlan Wheeler},
journal= {arXiv preprint arXiv:1605.08343},
year = {2017}
}