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Memoirs of the American Mathematical Society
1998; 83 pp; softcover
List Price: US$45
Individual Members: US$27
Institutional Members: US$36
Order Code: MEMO/133/633
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.
Graduate students and research mathematicians working in algebra, set theory and topology.
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