Fundamental Groups of Simplicial Complexes
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Wheeler, Erlan III
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SubjectAbstract Algebra; Topology; Algebraic Topology; Fundamental Group; Simplicial Complex; simplex
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 show that if one is connected, then the other is connected. We will also show that for any given set of integers, the fundamental groups of the resulting simplicial complexes are isomorphic.