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arXiv · 2012.15395

Relation between finite topological spaces and finitely presentable groups

Samuel Roldán·Jose Luis Mora·Edward Becerra
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Abstract

In this paper it is shown how to construct a finite topological space $X$ for a given finitely presentable group $G$ such that $\pi_1(X)\cong G$. Our construction is not optimal in the sense that the cardinality of the space $X$ might not be the smallest possible. Our main result applies to a large class of interesting groups, including all finite groups.

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Samuel Roldán, Jose Luis Mora, Edward Becerra. 2020-12-31. Relation between finite topological spaces and finitely presentable groups. https://arxiv.org/abs/2012.15395

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