Articles liés à Free Boolean Topological Groups

Free Boolean Topological Groups - Couverture souple

Sipacheva, Olga

 
9783330024946: Free Boolean Topological Groups
Couverture souple
ISBN 10 : 3330024941 ISBN 13 : 9783330024946
Editeur : LAP LAMBERT Academic Publishing, 2017

Synopsis

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.

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Présentation de l'éditeur

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.

Biographie de l'auteur

Olga V. Sipacheva, Doctor of Sciences. Graduated from Mechanics and Mathematics Faculty of Lomonosov Moscow State University. Leading Researcher at the Department of General Topology and Geometry of Lomonosov Moscow State University.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2017
Langue
anglais
ISBN 10 
3330024941
ISBN 13 
9783330024946
Reliure
Broché
Nombre de pages
72
Coordonnées du fabricant
non disponible
Personne responsable
non disponible