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Topologies on pseudo-trees and applications


About this Title

Jacek Nikiel

Publication: Memoirs of the American Mathematical Society
Publication Year 1989: Volume 82, Number 416
ISBNs: 978-0-8218-2479-5 (print); 978-1-4704-0839-8 (online)
DOI: http://dx.doi.org/10.1090/memo/0416
MathSciNet review: 988352
MSC (1991): Primary 54F05; Secondary 54A10, 54F20, 54H12

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Table of Contents


Chapters

  • 1. Introduction
  • 2. Preliminaries
  • 3. Order topologies on pseudo-trees
  • 4. Compactness properties
  • 5. Connectedness properties; uniquely arcwise connected spaces and dendritic spaces
  • 6. A class of topologies on pseudo-trees
  • 7. Universal pseudo-trees
  • 8. Dendrons
  • 9. Dendroids
  • 10. Hereditarily indecomposable continua and hyperspaces of their subcontinua