Closed bounded sets in 1-h-minimal valued fields

2024/06/13 by Juan Pablo Acosta López, López, Juan Pablo Acosta
Mathematics · #Advanced Topology and Set Theory

paper · pdf · doi:10.48550/arxiv.2406.09249

Abstract

We show that the 1-h-minimal fields satisfy a property of naive compactness for decreasing definable families of closed bounded sets indexed by the value group. We use this to prove that a local topological definable group has a definable family of neighborhoods of the identity consisting of open subgroups.

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