A (Discrete) Homotopy Theory for Geometric Spaces
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 theo...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/4158190 |
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| _version_ | 1849306105225674752 |
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| author | Asieh Pourhaghani Hamid Torabi |
| author_facet | Asieh Pourhaghani Hamid Torabi |
| author_sort | Asieh Pourhaghani |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-30a29b388b9b42389fd960ffc72aef09 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-30a29b388b9b42389fd960ffc72aef092025-08-20T03:55:12ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/4158190A (Discrete) Homotopy Theory for Geometric SpacesAsieh Pourhaghani0Hamid Torabi1Department of Pure MathematicsDepartment of Pure MathematicsWe 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.http://dx.doi.org/10.1155/2023/4158190 |
| spellingShingle | Asieh Pourhaghani Hamid Torabi A (Discrete) Homotopy Theory for Geometric Spaces Journal of Mathematics |
| title | A (Discrete) Homotopy Theory for Geometric Spaces |
| title_full | A (Discrete) Homotopy Theory for Geometric Spaces |
| title_fullStr | A (Discrete) Homotopy Theory for Geometric Spaces |
| title_full_unstemmed | A (Discrete) Homotopy Theory for Geometric Spaces |
| title_short | A (Discrete) Homotopy Theory for Geometric Spaces |
| title_sort | discrete homotopy theory for geometric spaces |
| url | http://dx.doi.org/10.1155/2023/4158190 |
| work_keys_str_mv | AT asiehpourhaghani adiscretehomotopytheoryforgeometricspaces AT hamidtorabi adiscretehomotopytheoryforgeometricspaces AT asiehpourhaghani discretehomotopytheoryforgeometricspaces AT hamidtorabi discretehomotopytheoryforgeometricspaces |