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Continuous images of arcs and inverse limit methods

About this Title

J. Nikiel, H. M. Tuncali and E. D. Tymchatyn

Publication: Memoirs of the American Mathematical Society
Publication Year: 1993; Volume 104, Number 498
ISBNs: 978-0-8218-2561-7 (print); 978-1-4704-0075-0 (online)
DOI: https://doi.org/10.1090/memo/0498
MathSciNet review: 1148017
MSC: Primary 54F15; Secondary 54B35, 54C05

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Table of Contents

Chapters

  • 1. Introduction
  • 2. Cyclic elements in locally connected continua
  • 3. T-sets in locally connected continua
  • 4. T-maps, T-approximations and continuous images of arcs
  • 5. Inverse sequences of images of arcs
  • 6. 1-dimensional continuous images of arcs
  • 7. Totally regular continua
  • 8. Monotone images
  • 9. $\sigma$-directed inverse limits