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Algebraic structure of pseudocompact groups

About this Title

Dikran Dikranjan and Dmitri Shakhmatov

Publication: Memoirs of the American Mathematical Society
Publication Year: 1998; Volume 133, Number 633
ISBNs: 978-0-8218-0629-6 (print); 978-1-4704-0222-8 (online)
DOI: https://doi.org/10.1090/memo/0633
MathSciNet review: 1396956
MSC: Primary 22A05; Secondary 22C05, 54H11

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Table of Contents

Chapters

  • Introduction
  • 1. Principal results
  • 2. Preliminaries
  • 3. Some algebraic and set-theoretic properties of pseudocompact groups
  • 4. Three technical lemmas
  • 5. Pseudocompact group topologies on $\mathcal {V}$-free groups
  • 6. Pseudocompact topologies on torsion Abelian groups
  • 7. Pseudocompact connected group topologies on Abelian groups
  • 8. Pseudocompact topologizations versus compact ones
  • 9. Some diagrams and open questions