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Fundamental Groups of Simplicial Complexes

Research paper by Erlan Wheeler

Indexed on: 26 May '16Published on: 26 May '16Published in: Mathematics - Algebraic Topology



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.