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arXiv · 2507.12289

The completeness of free Boolean topological groups

Ol'ga V. Sipacheva·Mikhail G. Tkachenko
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Abstract

It is proved that the free Boolean topological group $B(X)$ on a Tychonoff space $X$ is Weil complete if and only if the space $X$ is Dieudonn\'e complete. This result provides a positive answer to a question posed by the first listed author in 2015.

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Ol'ga V. Sipacheva, Mikhail G. Tkachenko. 2025-07-16. The completeness of free Boolean topological groups. https://arxiv.org/abs/2507.12289

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