Any countable topological $\mathbb F_p$-vector space has a closed discrete basis

Ol'ga Sipacheva

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arXiv · 2604.07948

Any countable topological $\mathbb F_p$-vector space has a closed discrete basis

Ol'ga Sipacheva

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Abstract

It is proved that any countable topological vector space over a finite field $\mathbb F_p$ or, equivalently, any countable Abelian topological group of prime exponent has a closed discrete basis.

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Ol'ga Sipacheva. 2026-04-09. Any countable topological $\mathbb F_p$-vector space has a closed discrete basis. https://arxiv.org/abs/2604.07948

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