| Description |
1 online resource (viii, 219 pages). |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
De Gruyter expositions in mathematics,
0938-6572 ;
50
|
|
De Gruyter expositions in mathematics ; 50.
0938-6572
|
| Bibliography |
Includes bibliographical references and 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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Language |
In English. |
| Subject |
Topological group theory.
|
|
Ultrafilters (Mathematics)
|
|
Ultrafilters (Mathematics) |
| Genre/Form |
Electronic books.
|
| Other Form: |
Print version: Zelenyuk, Yevhen G. Ultrafilters and topologies on groups. Berlin ; New York : De Gruyter, ©2011 (DLC) 2010050782 |
| ISBN |
9783110213225 (electronic book) |
|
3110213222 (electronic book) |
|
1283164728 |
|
9781283164726 |
|
3110204223 (alkaline paper) |
|
9783110204223 (alkaline paper) |
|
9783110204223 (alkaline paper) |
| Standard No. |
10.1515/9783110213225 |
|
