The study demonstrates Weil completeness in free Boolean topological groups linked to Dieudonné completeness in Tychonoff spaces.
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 Dieudonné complete. This result provides a positive answer to a question posed by the first listed author in 2015.
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Sipacheva et al. (2025) studied this question.
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