Ultrafilters and topologies on groups /

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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 about ultrafilters. Topics covered include: topological...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Zelenyuk, Yevhen G.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; New York : De Gruyter, ©2011.
Colección:De Gruyter expositions in mathematics ; 50.
Temas:
Topological group theory.
Ultrafilters (Mathematics)
Filter.
Gruppentheorie.
Topologie.
Ultrafiltres (Mathématiques)
MATHEMATICS > Algebra > Linear.
Topologische Gruppe
Ultrafilter > Mathematik
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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