On cohomology of locally profinite sets
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910692349575168 |
|---|---|
| author | Aoki, Ko |
| author_facet | Aoki, Ko |
| contents | We construct a locally profinite set of cardinality $\aleph_ω$ with infinitely many first cohomology classes of which any distinct finite product does not vanish. Building on this, we construct the first example of a nondescendable faithfully flat map between commutative rings of cardinality $\aleph_ω$ within Zermelo--Fraenkel set theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_05995 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On cohomology of locally profinite sets Aoki, Ko Logic Commutative Algebra Algebraic Topology General Topology We construct a locally profinite set of cardinality $\aleph_ω$ with infinitely many first cohomology classes of which any distinct finite product does not vanish. Building on this, we construct the first example of a nondescendable faithfully flat map between commutative rings of cardinality $\aleph_ω$ within Zermelo--Fraenkel set theory. |
| title | On cohomology of locally profinite sets |
| topic | Logic Commutative Algebra Algebraic Topology General Topology |
| url | https://arxiv.org/abs/2411.05995 |