A (Discrete) Homotopy Theory for Geometric Spaces

Asieh Pourhaghani, Hamid Torabi and Ljubisa Kocinac

Journal of Mathematics, 2023, vol. 2023, 1-19

Abstract: We define the concepts of homotopy and fundamental group for geometric spaces as a generalization of metric spaces, digital spaces, and graphs; then, we compare them with corresponding concepts in these spaces. Also, we state some properties of the fundamental group of geometric spaces and some theorems to calculate them.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4158190

DOI: 10.1155/2023/4158190

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