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Opis

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

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Mathematics Groups & group theory

• Pełny tytuł: Ultrafilters and Topologies on Groups
• Autor: Yevhen Zelenyuk
• Język: Angielski
• Oprawa: Twarda
• Liczba stron: 227
• EAN: 9783110204223
• ISBN: 3110204223
• ID: 12565470
• Wydawca: De Gruyter
• Waga: 526 g
• Wymiary: 246 × 175 × 18 mm
• Data wydania: 17. March 2011

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