The completeness of free Boolean topological groups

2025/07/16 by Ol’ga Sipacheva, Sipacheva, Ol'ga V., Mikhail Tkachenko +1 · 1 citation
Computer Science · Mathematics · #22A05 #54H11 #Advanced Algebra and Logic #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2507.12289

openalex publication_date 2025/07/16 · openalex created_date 2025/10/14 · openalex updated_date 2026/07/28

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 Dieudonné complete. This result provides a positive answer to a question posed by the first listed author in 2015.

Citations

• Free Boolean Topological Groups

Cited by

• There are No Product and Subgroup Theorems for the Covering Dimension of Topological Groups

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