Algebraic Structure of Pseudocompact Groups - Couverture souple

Dikranjan, Dikran N.; Shakhmatov, Dmitri

Couverture souple

ISBN 10 : 0821806297 ISBN 13 : 9780821806296

Editeur : 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.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 1998
• Langue: anglais
• ISBN 10: 0821806297
• ISBN 13: 9780821806296
• Reliure: Broché
• Nombre de pages: 83
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible