Free Boolean Topological Groups

2016/12/14 by Ol’ga Sipacheva, Sipacheva, Ol'ga · 3 citations
Computer Science · Mathematics · #54H11 22A05 54G05 03E75 03E35 03C25 #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.1612.04878

openalex publication_date 2016/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Known and new results on free Boolean topological groups are collected. An account of properties which these groups share with free or free Abelian topological groups and properties specific of free Boolean groups is given. Special emphasis is placed on the application of set-theoretic methods to the study of Boolean topological groups.

Cited by

• There are No Product and Subgroup Theorems for the Covering Dimension of Topological Groups
• INVARIANT IDEAL AXIOM AND DEFINABLE TOPOLOGY
• The completeness of free Boolean topological groups

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