
arXiv: 1612.04878
Known and new results on free Boolean topological groups are collected. An account of the properties that these groups share with free or free Abelian topological groups and properties specific to free Boolean groups is given. Special emphasis is placed on the application of set-theoretic methods to the study of Boolean topological groups.
free Abelian topological group, free topological group, extremally disconnected group, Ramsey filter, General Topology (math.GN), 54H11 22A05 54G05 03E75 03E35 03C25, free Boolean topological group, free abelian topological group, Extremally disconnected spaces, \(F\)-spaces, etc., Model-theoretic forcing, Structure of general topological groups, free Boolean linear topological group, QA1-939, FOS: Mathematics, Applications of set theory, Consistency and independence results, Mathematics, Topological groups (topological aspects), almost discrete space, Mathematics - General Topology
free Abelian topological group, free topological group, extremally disconnected group, Ramsey filter, General Topology (math.GN), 54H11 22A05 54G05 03E75 03E35 03C25, free Boolean topological group, free abelian topological group, Extremally disconnected spaces, \(F\)-spaces, etc., Model-theoretic forcing, Structure of general topological groups, free Boolean linear topological group, QA1-939, FOS: Mathematics, Applications of set theory, Consistency and independence results, Mathematics, Topological groups (topological aspects), almost discrete space, Mathematics - General Topology
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