On the Geometric Structures of Compact Manifold (Distance Function, Critical Points On the Homology Representation)
In the field of algebraic topology, the homology of an space reflects the geometric properties in the interior of such space. We found that and with appropriate parameter , we can built a union of optimizes neighborhoods to represents geometric structure in an manifolds. Upon the notion of the cri...
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| Format: | Article |
| Language: | Arabic |
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University of Djelfa
2021-02-01
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| Series: | آفاق للعلوم |
| Subjects: | |
| Online Access: | https://afak-revues.com/index.php/afak/article/view/767 |
| _version_ | 1797268446208065536 |
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| author | Ateia Ismaeel Khalid Abd Assalam |
| author_facet | Ateia Ismaeel Khalid Abd Assalam |
| author_sort | Ateia Ismaeel Khalid Abd Assalam |
| collection | DOAJ |
| description | In the field of algebraic topology, the homology of an space reflects the geometric properties in the interior of such space. We found that and with appropriate parameter , we can built a union of optimizes neighborhoods to represents geometric structure in an manifolds. Upon the notion of the critical points of the distance function, we can generate an abelian group, which represents a basis for such homology. |
| first_indexed | 2024-04-25T01:32:36Z |
| format | Article |
| id | doaj.art-a2519658fa6645fd88611d73210e0b27 |
| institution | Directory Open Access Journal |
| issn | 2507-7228 2602-5345 |
| language | Arabic |
| last_indexed | 2024-04-25T01:32:36Z |
| publishDate | 2021-02-01 |
| publisher | University of Djelfa |
| record_format | Article |
| series | آفاق للعلوم |
| spelling | doaj.art-a2519658fa6645fd88611d73210e0b272024-03-08T12:04:32ZaraUniversity of Djelfaآفاق للعلوم2507-72282602-53452021-02-0154767On the Geometric Structures of Compact Manifold (Distance Function, Critical Points On the Homology Representation)Ateia Ismaeel Khalid Abd Assalam0Red Sea Uniersity,In the field of algebraic topology, the homology of an space reflects the geometric properties in the interior of such space. We found that and with appropriate parameter , we can built a union of optimizes neighborhoods to represents geometric structure in an manifolds. Upon the notion of the critical points of the distance function, we can generate an abelian group, which represents a basis for such homology.https://afak-revues.com/index.php/afak/article/view/767in the field of algebraic topology, the homology of an n – dimensional space reflects the geometric properties in the interior of such space. we found that and with appropriate parameter ε_n, we can built a union of optimizes neighborhoods to represents geometric structure in an n – dimensional manifolds. upon the notion of the critical points of the distance function, we can generate an abelian group, which represents a basis for such homology. |
| spellingShingle | Ateia Ismaeel Khalid Abd Assalam On the Geometric Structures of Compact Manifold (Distance Function, Critical Points On the Homology Representation) آفاق للعلوم in the field of algebraic topology, the homology of an n – dimensional space reflects the geometric properties in the interior of such space. we found that and with appropriate parameter ε_n, we can built a union of optimizes neighborhoods to represents geometric structure in an n – dimensional manifolds. upon the notion of the critical points of the distance function, we can generate an abelian group, which represents a basis for such homology. |
| title | On the Geometric Structures of Compact Manifold (Distance Function, Critical Points On the Homology Representation) |
| title_full | On the Geometric Structures of Compact Manifold (Distance Function, Critical Points On the Homology Representation) |
| title_fullStr | On the Geometric Structures of Compact Manifold (Distance Function, Critical Points On the Homology Representation) |
| title_full_unstemmed | On the Geometric Structures of Compact Manifold (Distance Function, Critical Points On the Homology Representation) |
| title_short | On the Geometric Structures of Compact Manifold (Distance Function, Critical Points On the Homology Representation) |
| title_sort | on the geometric structures of compact manifold distance function critical points on the homology representation |
| topic | in the field of algebraic topology, the homology of an n – dimensional space reflects the geometric properties in the interior of such space. we found that and with appropriate parameter ε_n, we can built a union of optimizes neighborhoods to represents geometric structure in an n – dimensional manifolds. upon the notion of the critical points of the distance function, we can generate an abelian group, which represents a basis for such homology. |
| url | https://afak-revues.com/index.php/afak/article/view/767 |
| work_keys_str_mv | AT ateiaismaeelkhalidabdassalam onthegeometricstructuresofcompactmanifolddistancefunctioncriticalpointsonthehomologyrepresentation |