On cohomology of locally profinite sets
Abstract
Abstract We construct a locally profinite set of cardinality 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 within Zermelo–Fraenkel set theory.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Topological and Geometric Data Analysis
Advanced Topology and Set Theory
Publication details
- Journal / source
- Proceedings of the London Mathematical Society
- Volume
- 132
- Issue
- 5
- Publication date
- 1 May 2026
- Language
- EN