Algebraic Structure of Pseudocompact Groups (eBook)

Dikran Dikranjan (Autor)

eBook Download: PDF

83 Seiten
American Mathematical Society (Verlag)
978-1-4704-0222-8 (ISBN)

Infos

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.

Produkt-Details

• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
• ISBN-10: 1-4704-0222-X / 147040222X
• ISBN-13: 978-1-4704-0222-8 / 9781470402228