Algebraic structure of pseudocompact groups. Memoirs of the American Mathematical Society; 633.

Dikranjan, Dikran N.; Shakhmatov, Dmitri

ISBN 10: 0821806297 / ISBN 13: 9780821806296

Published by Providence, 1998

About this Item

Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-00835 9780821806296 Sprache: Englisch Gewicht in Gramm: 150.

Seller Inventory # 2484674

Bibliographic Details

• Title: Algebraic structure of pseudocompact groups. Memoirs of the American Mathematical Society; 633.
• Publisher: Providence
• Publication Date: 1998
• Language: English
• ISBN 10: 0821806297
• ISBN 13: 9780821806296
• Binding: Softcover
• Weight: 150 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

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.