Ultrafilters and Topologies on Groups

1. Auflage 2011
ISBN: 978-3-11-020422-3
Verlag: De Gruyter

Buch, Englisch, Band 50, 219 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 573 g

Reihe: De Gruyter Expositions in Mathematics

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

Autoren/Hrsg.

Zelenyuk, Yevhen

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Topologie Algebraische Topologie
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

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 ßS
7 Ultrafilter Semigroups
8 Finite Groups in ßG
9 Ideal Structure of ßG
10 Almost Maximal Topological Groups
11 Almost Maximal Spaces
12 Resolvability
13 Open Problems
Bibliography
Index

Über Autor(innen)

Zelenyuk, Yevhen
Yevhen G. Zelenyuk, University of the Witwatersrand, Johannesburg, South Africa.