Some counterexamples in surface homology
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914952986492928 |
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| author | Buser, Peter Makover, Eran Muetzel, Bjoern |
| author_facet | Buser, Peter Makover, Eran Muetzel, Bjoern |
| contents | We present four counterexamples in surface homology. The first example shows that even if the loops inducing a homology basis intersect each other at most once, they still may separate the surface into two parts. The other three examples show some difficulties in working with minimal homology bases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_13256 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Some counterexamples in surface homology Buser, Peter Makover, Eran Muetzel, Bjoern Geometric Topology Algebraic Topology 14J80, 54G20 and 55N10 We present four counterexamples in surface homology. The first example shows that even if the loops inducing a homology basis intersect each other at most once, they still may separate the surface into two parts. The other three examples show some difficulties in working with minimal homology bases. |
| title | Some counterexamples in surface homology |
| topic | Geometric Topology Algebraic Topology 14J80, 54G20 and 55N10 |
| url | https://arxiv.org/abs/2304.13256 |