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

Dikran N. Dikranjan; Dmitri Shakhmatov

ISBN 10: 0821806297 / ISBN 13: 9780821806296

Verlag: Amer Mathematical Society, 1998

Former library book; Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less. Bestandsnummer des Verkäufers G0821806297I3N10

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.

Bibliografische Details

Titel: Algebraic Structure of Pseudocompact Groups ...
Verlag: Amer Mathematical Society
Erscheinungsdatum: 1998
Einband: Paperback
Zustand: Good
Zustand des Schutzumschlags: No Jacket