The classification of surfaces via normal curves
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917255443382272 |
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| author | Ayaz, Fethi Kegel, Marc Mohnke, Klaus |
| author_facet | Ayaz, Fethi Kegel, Marc Mohnke, Klaus |
| contents | We present a simple proof of the surface classification theorem using normal curves. This proof is analogous to Kneser's and Milnor's proof of the existence and uniqueness of the prime decomposition of 3-manifolds. In particular, we do not need any invariants from algebraic topology to distinguish surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_00999 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The classification of surfaces via normal curves Ayaz, Fethi Kegel, Marc Mohnke, Klaus Geometric Topology 57M25, 57R65, 57M12 We present a simple proof of the surface classification theorem using normal curves. This proof is analogous to Kneser's and Milnor's proof of the existence and uniqueness of the prime decomposition of 3-manifolds. In particular, we do not need any invariants from algebraic topology to distinguish surfaces. |
| title | The classification of surfaces via normal curves |
| topic | Geometric Topology 57M25, 57R65, 57M12 |
| url | https://arxiv.org/abs/2208.00999 |