Algebraic Structure of Pseudocompact Groups (Memoirs of the American Mathematical Society, Band 633) - Softcover

Dikranjan, Dikran N.; Shakhmatov, Dmitri

 
9780821806296: Algebraic Structure of Pseudocompact Groups (Memoirs of the American Mathematical Society, Band 633)
Softcover
ISBN 10: 0821806297 ISBN 13: 9780821806296
Verlag: American Mathematical Society, 1998

Inhaltsangabe

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.

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Verlag
American Mathematical Society
Erscheinungsdatum
1998
Sprache
Englisch
ISBN 10 
0821806297
ISBN 13 
9780821806296
Einband
Taschenbuch
Anzahl der Seiten
83
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Verantwortliche Person
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