Journal of Mathematics, Volume (2023), Year (2023-11) , Pages (1-19)

Title : ( A (Discrete) Homotopy Theory for Geometric Spaces )

Authors: Asieh Pourhaghani , Hamid Torabi Ardakani ,

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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.

Keywords

, Geometry Spaces, Discrete Homotopy Theory, Digital Space
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@article{paperid:1096925,
author = {Pourhaghani, Asieh and Torabi Ardakani, Hamid},
title = {A (Discrete) Homotopy Theory for Geometric Spaces},
journal = {Journal of Mathematics},
year = {2023},
volume = {2023},
month = {November},
issn = {2314-4629},
pages = {1--19},
numpages = {18},
keywords = {Geometry Spaces; Discrete Homotopy Theory; Digital Space},
}

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%0 Journal Article
%T A (Discrete) Homotopy Theory for Geometric Spaces
%A Pourhaghani, Asieh
%A Torabi Ardakani, Hamid
%J Journal of Mathematics
%@ 2314-4629
%D 2023

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