Self-Homotopy Equivalence Group of an Elliptic Space and Its Embedding in general Linear Groups
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916663784374272 |
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| author | Benkhalifa, Mahmoud |
| author_facet | Benkhalifa, Mahmoud |
| contents | For a rational elliptic space, this paper examines the relationship between its homotopy groups and its self-homotopy equivalence group. Moreover, we investigate how this group is embedded in general linear groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_11503 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Self-Homotopy Equivalence Group of an Elliptic Space and Its Embedding in general Linear Groups Benkhalifa, Mahmoud Algebraic Topology Group of homotopy self-equivalences, Whitehead exact sequence, Sullivan model, Elliptic Spaces, Linear Groups For a rational elliptic space, this paper examines the relationship between its homotopy groups and its self-homotopy equivalence group. Moreover, we investigate how this group is embedded in general linear groups. |
| title | Self-Homotopy Equivalence Group of an Elliptic Space and Its Embedding in general Linear Groups |
| topic | Algebraic Topology Group of homotopy self-equivalences, Whitehead exact sequence, Sullivan model, Elliptic Spaces, Linear Groups |
| url | https://arxiv.org/abs/2502.11503 |