Ultrafilters and Topologies on Groups / De Gruyter Expositions in Mathematics Bd.50 (PDF)
(Sprache: Englisch)
This book presents the relationship between ultrafilters and topologies on groups. It shows how ultrafilters are used in constructing topologies on groups with extremal properties and how topologies on groups serve in deriving algebraic results...
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This book presents the relationship between ultrafilters and topologies on groups. It shows how ultrafilters are used in constructing topologies on groups with extremal properties and how topologies on groups serve in deriving algebraic results aboutultrafilters. Topics covered include: topological and left topological groups, ultrafilter semigroups, local homomorphisms and automorphisms, subgroups and ideal structure of ssG, almost maximal spaces and projectives of finite semigroups, resolvability of groups. This is a self-contained book aimed at graduate students and researchers working in topological algebra and adjacent areas. From the contents: Topological Groups Ultrafilters Topological Spaces with Extremal Properties Left Invariant Topologies and Strongly Discrete Filters Topological Groups with Extremal Properties The Semigroup ssS Ultrafilter Semigroups Finite Groups in ssG Ideal Structure of ssS Almost Maximal Topological Groups and Spaces Resolvability Open Problems
Autoren-Porträt von Yevhen Zelenyuk
Yevhen G. Zelenyuk, University of the Witwatersrand, Johannesburg, South Africa.
Bibliographische Angaben
- Autor: Yevhen Zelenyuk
- 2011, 1. Auflage, 227 Seiten, Englisch
- Verlag: Walter de Gruyter
- ISBN-10: 3110213222
- ISBN-13: 9783110213225
- Erscheinungsdatum: 29.03.2011
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Englisch
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