Skip to Main Content


AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution


Characterizing $k$-dimensional universal Menger compacta

About this Title

Mladen Bestvina

Publication: Memoirs of the American Mathematical Society
Publication Year: 1988; Volume 71, Number 380
ISBNs: 978-0-8218-2443-6 (print); 978-1-4704-0800-8 (online)
DOI: https://doi.org/10.1090/memo/0380
MathSciNet review: 920964
MSC: Primary 54F65; Secondary 55M10, 57N15

PDF View full volume as PDF

View other years and numbers:

Table of Contents

Chapters

  • Introduction
  • Definitions and notation
  • 1. Partitions
  • 2. Basic moves
  • 3. The $Z$-set unknotting theorem
  • 4. The decomposition theory of Menger manifolds
  • 5. The characterization theorem
  • 6. Noncompact Menger manifolds
  • Appendix