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Free Boolean Topological Groups

Name: Free Boolean Topological Groups
Brand: LAP Lambert Academic Publishing
SKU: 15806716
Price: 27.09 EUR
Availability: InStock
Author: Olga Sipacheva
ISBN: 9783330024946

Olga Sipacheva

Language

English

Book Paperback

Libristo code: 15806716

Publishers LAP Lambert Academic Publishing, November 2016

Free and free Abelian topological groups are traditional objects of research in topological algebra.... Full description

Libristo code: 15806716

66 b

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Free and free Abelian topological groups are traditional objects of research in topological algebra. Free Boolean topological groups have been much less investigated, although they arise fairly often in various studies (especially in the set-theoretic context) and have quite specific features. Thus, essentially, only Boolean groups can have extremal topological properties, such as extremal disconnectedness, irresolvability, maximality, and so on. Moreover, the topology of the free Boolean group on a countable filter is closely related to classical notions of forcing. This book collects known and new results on free Boolean topological groups. Special emphasis is placed on the application of set theory to Boolean topological groups and vice versa. The book is intended for anyone familiar with the basics of general topology and topological algebra.