Free Boolean Topological Groups
Ol'ga Sipacheva
TL;DR
This paper reviews known and new properties of free Boolean topological groups, highlighting their similarities with other free groups and emphasizing the role of set-theoretic methods in their study.
Contribution
It compiles and discusses properties of free Boolean topological groups, including new results and the application of set theory to their analysis.
Findings
Shared properties with free and free Abelian topological groups
Unique properties specific to free Boolean groups
Application of set-theoretic methods in their study
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.
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Taxonomy
TopicsAdvanced Algebra and Logic · Advanced Topology and Set Theory · Rings, Modules, and Algebras