On cohomology of locally profinite sets
We construct a locally profinite set of cardinality $\aleph_{\omega}$ 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...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | We construct a locally profinite set of cardinality $\aleph_{\omega}$ 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
$\aleph_{\omega}$ within Zermelo--Fraenkel set theory. |
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| DOI: | 10.48550/arxiv.2411.05995 |