Comparison techniques on inert top cell attachments
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913473614577664 |
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| author | Huang, Ruizhi |
| author_facet | Huang, Ruizhi |
| contents | We establish various criteria for the inertness of the top cell attachments of Poincaré duality complexes through nonzero degree maps, algebraic intersection theory and various types of homotopy fibrations. Many examples are provided, including specific surgery, homogeneous spaces and low dimensional manifolds. Additionally, we propose eight open problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_10716 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Comparison techniques on inert top cell attachments Huang, Ruizhi Algebraic Topology Geometric Topology We establish various criteria for the inertness of the top cell attachments of Poincaré duality complexes through nonzero degree maps, algebraic intersection theory and various types of homotopy fibrations. Many examples are provided, including specific surgery, homogeneous spaces and low dimensional manifolds. Additionally, we propose eight open problems. |
| title | Comparison techniques on inert top cell attachments |
| topic | Algebraic Topology Geometric Topology |
| url | https://arxiv.org/abs/2408.10716 |