Whitehead aspherical conjecture via ribbon sphere-link
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Accesso online: | |
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| _version_ | 1866913306290159616 |
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| author | Kawauchi, Akio |
| author_facet | Kawauchi, Akio |
| contents | Whitehead aspherical conjecture says that every connected subcomplex of every aspherical 2-complex is aspherical. By an argument on ribbon sphere-links, it is confirmed that the conjecture is true for every contractible finite 2-complex. In this paper, by generalizing this argument, this conjecture is confirmed to be true for every aspherical 2-complex. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_04368 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Whitehead aspherical conjecture via ribbon sphere-link Kawauchi, Akio Geometric Topology Algebraic Topology 57Q45, 57M20 Whitehead aspherical conjecture says that every connected subcomplex of every aspherical 2-complex is aspherical. By an argument on ribbon sphere-links, it is confirmed that the conjecture is true for every contractible finite 2-complex. In this paper, by generalizing this argument, this conjecture is confirmed to be true for every aspherical 2-complex. |
| title | Whitehead aspherical conjecture via ribbon sphere-link |
| topic | Geometric Topology Algebraic Topology 57Q45, 57M20 |
| url | https://arxiv.org/abs/2303.04368 |