Fundamental groups of simplicial complexes

JOURNAL OF ALGEBRA

卷:478

Article

Wheeler, E.¹ 

[1] Carthage Coll, Kenosha, WI 53140 USA

关键词: Abstract algebra;    Topology;    Algebraic topology;    Fundamental group;    Simplicial complex;    Simplex;   

DOI  :  10.1016/j.jalgebra.2017.01.023

来源: Elsevier

【 摘 要 】

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. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free