Limit search to available items
Book Cover
E-book
Author Zelenyuk, Yevhen G

Title Ultrafilters and topologies on groups / Yevhen G. Zelenyuk
Published Berlin ; New York : De Gruyter, ©2011

Copies

Description 1 online resource (viii, 219 pages)
Series De Gruyter expositions in mathematics, 0938-6572 ; 50
De Gruyter expositions in mathematics ; 50. 0938-6572
Contents 880-01 Frontmatter -- Preface -- Contents -- 1 Topological Groups -- 2 Ultrafilters -- 3 Topological Spaces with Extremal Properties -- 4 Left Invariant Topologies and Strongly Discrete Filters -- 5 Topological Groups with Extremal Properties -- 6 The Semigroup [beta]S -- 7 Ultrafilter Semigroups -- 8 Finite Groups in [beta]G -- 9 Ideal Structure of [beta]G -- 10 Almost Maximal Topological Groups -- 11 Almost Maximal Spaces -- 12 Resolvability -- 13 Open Problems -- Bibliography -- Index
880-01/(S Frontmatter -- Preface -- Contents -- 1 Topological Groups -- 2 Ultrafilters -- 3 Topological Spaces with Extremal Properties -- 4 Left Invariant Topologies and Strongly Discrete Filters -- 5 Topological Groups with Extremal Properties -- 6 The Semigroup βS -- 7 Ultrafilter Semigroups -- 8 Finite Groups in βG -- 9 Ideal Structure of βG -- 10 Almost Maximal Topological Groups -- 11 Almost Maximal Spaces -- 12 Resolvability -- 13 Open Problems -- Bibliography -- Index
Summary 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 about ultrafilters. 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
Bibliography Includes bibliographical references and index
Notes In English
Print version record
Subject Topological group theory
Ultrafilters (Mathematics)
MATHEMATICS -- Algebra -- Linear.
Ultrafilters (Mathematics)
Topologische Gruppe
Ultrafilter Mathematik
Form Electronic book
LC no. 2010050782
ISBN 9783110213225
3110213222
1283164728
9781283164726
3110204223
9783110204223
9786613164728
6613164720