Locally classical stable planes
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909595777105920 |
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| author | Löwen, Rainer |
| author_facet | Löwen, Rainer |
| contents | We show that a simply connected stable plane with connected lines is isomorphic to an open subplane of a classical projective plane (i.e., a plane over the real or complex numbers, the quaternions or the octonions) if it has that property locally. We also give several examples indicating that our hypotheses cannot be relaxed much further. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_19265 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Locally classical stable planes Löwen, Rainer Geometric Topology 51H10 We show that a simply connected stable plane with connected lines is isomorphic to an open subplane of a classical projective plane (i.e., a plane over the real or complex numbers, the quaternions or the octonions) if it has that property locally. We also give several examples indicating that our hypotheses cannot be relaxed much further. |
| title | Locally classical stable planes |
| topic | Geometric Topology 51H10 |
| url | https://arxiv.org/abs/2504.19265 |