Čech cohomology of infinite projective spaces, flag manifolds, and related spaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866914252916260864 |
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| author | Anderson, David Franz, Matthias |
| author_facet | Anderson, David Franz, Matthias |
| contents | We compute the Čech cohomology ring of a countable product of infinite projective spaces, and that of an infinite flag manifold. The method of our first result in fact computes the cohomology ring of a countably infinite product of paracompact Hausdorff spaces, under some mild assumptions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_16487 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Čech cohomology of infinite projective spaces, flag manifolds, and related spaces Anderson, David Franz, Matthias Algebraic Topology Algebraic Geometry 55N05, 14F45, 14M17, 55N91 We compute the Čech cohomology ring of a countable product of infinite projective spaces, and that of an infinite flag manifold. The method of our first result in fact computes the cohomology ring of a countably infinite product of paracompact Hausdorff spaces, under some mild assumptions. |
| title | Čech cohomology of infinite projective spaces, flag manifolds, and related spaces |
| topic | Algebraic Topology Algebraic Geometry 55N05, 14F45, 14M17, 55N91 |
| url | https://arxiv.org/abs/2506.16487 |