Algebraic Structure of Pseudocompact Groups (Memoirs of the AMS) (Memoirs of the American Mathematical Society) - Softcover

Dikranjan, Dikran N.; Shakhmatov, Dmitri

 
9780821806296: Algebraic Structure of Pseudocompact Groups (Memoirs of the AMS) (Memoirs of the American Mathematical Society)
Softcover
ISBN 10: 0821806297 ISBN 13: 9780821806296
Publisher: American Mathematical Society, 1998

Synopsis

The fundamental property of compact spaces - that continuous functions defined on compact spaces are bounded - served as a motivation for E. Hewitt to introduce the notion of a pseudocompact space. The class of pseudocompact spaces proved to be of fundamental importance in set-theoretic topology and its applications. This clear and self-contained exposition offers a comprehensive treatment of the question, When does a group admit an introduction of a pseudocompact Hausdorff topology that makes group operations continuous? Equivalently, what is the algebraic structure of a pseudocompact Hausdorff group? The authors have adopted a unifying approach that covers all known results and leads to new ones. Results in the book are free of any additional set-theoretic assumptions.

"synopsis" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
1998
Language
English
ISBN 10 
0821806297
ISBN 13 
9780821806296
Binding
Paperback
Number of pages
83