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Intersections of thick Cantor sets

About this Title

Roger Kraft

Publication: Memoirs of the American Mathematical Society
Publication Year: 1992; Volume 97, Number 468
ISBNs: 978-0-8218-2528-0 (print); 978-1-4704-0894-7 (online)
DOI: https://doi.org/10.1090/memo/0468
MathSciNet review: 1106988
MSC: Primary 28A80

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Table of Contents

Chapters

  • Introduction
  • 1. Theorems and examples
  • 2. Cantor sets and thickness
  • 3. Proof of Theorem 1.2
  • 4. Third kind of overlapped point
  • 5. Second kind of overlapped point
  • 6. First kind of overlapped point
  • 7. The dynamics of $\psi _{\tau \tau ’}$
  • 8. Results about the geometric process
  • 9. Proof of Theorem 6.1(1)
  • 10. The boundary between $\Lambda _1$ and $\Lambda _2$
  • 11. Proof of Theorem 1.1
  • Appendix 1
  • Appendix 2