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Article

Free Boolean Topological Groups

Department of General Topology and Geometry, Lomonosov Moscow State University, Leninskie Gory 1, Moscow 119991, Russia
Academic Editor: Sidney A. Morris
Axioms 2015, 4(4), 492-517; https://doi.org/10.3390/axioms4040492
Received: 30 August 2015 / Revised: 17 October 2015 / Accepted: 23 October 2015 / Published: 3 November 2015
(This article belongs to the Special Issue Topological Groups: Yesterday, Today, Tomorrow)
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. View Full-Text
Keywords: free Boolean topological group; free Boolean linear topological group; free topological group; free Abelian topological group; almost discrete space; Ramsey filter; extremally disconnected group free Boolean topological group; free Boolean linear topological group; free topological group; free Abelian topological group; almost discrete space; Ramsey filter; extremally disconnected group
MDPI and ACS Style

Sipacheva, O. Free Boolean Topological Groups. Axioms 2015, 4, 492-517. https://doi.org/10.3390/axioms4040492

AMA Style

Sipacheva O. Free Boolean Topological Groups. Axioms. 2015; 4(4):492-517. https://doi.org/10.3390/axioms4040492

Chicago/Turabian Style

Sipacheva, Ol’ga. 2015. "Free Boolean Topological Groups" Axioms 4, no. 4: 492-517. https://doi.org/10.3390/axioms4040492

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