Algebraic structure of pseudocompact groups
Author(s)
Bibliographic Information
Algebraic structure of pseudocompact groups
（Memoirs of the American Mathematical Society, no. 633）
American Mathematical Society, 1998
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"May 1998, volume 133, number 633 (fourth of 5 numbers)"--T.p
Includes bibliographical references (p. 76-83)
Description and Table of Contents
Description
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.
Table of Contents
Introduction Principal results Preliminaries Some algebraic and set-theoretic properties of pseudocompact groups Three technical lemmas Pseudocompact group topologies on $\mathcal V$-free groups Pseudocompact topologies on torsion Abelian groups Pseudocompact connected group topologies on Abelian groups Pseudocompact topologizations versus compact ones Some diagrams and open questions Diagram 2 Diagram 3 Bibliography.
by "Nielsen BookData"