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Free Boolean Topological Groups

Free Boolean topological groups
Authors: Ol'ga Sipacheva;

Free Boolean Topological Groups

Abstract

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.

Related Organizations
Keywords

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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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
13
Top 10%
Top 10%
Average
Green
gold