Topology and combinatorics of 3-manifolds /

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Bibliographic Details
Author / Creator:Johannson, Klaus, 1948-
Imprint:Berlin ; New York : Springer-Verlag, c1995.
Description:xviii, 446 p. : ill. ; 24 cm.
Language:English
Series:Lecture notes in mathematics ; 1599
Lecture notes in mathematics (Springer-Verlag) ; 1599.
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/1755191
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Other title:Topology and combinatorics of three-manifolds.
ISBN:3540590633 (Berlin : acid-free) : DM 108
0387590633 (New York : acid-free)
Notes:Includes bibliographical references and index.
Table of Contents:
  • 1. Standard Graphs and Meridian-Systems
  • 2. The Disc-Complex
  • 3. Homeomorphisms
  • 4. Pseudo-Anosov Homeomorphisms
  • 5. Branching Complexes
  • 6. Heegaard-Diagrams
  • 7. Surfaces
  • 8. Homeomorphisms
  • 9. Duality
  • 10. Presentations for Surfaces
  • 11. The Seifert Characteristic
  • 12. Algorithms for Surfaces
  • 13. The Haken Spectrum
  • 14. Good Pencils
  • 15. The Handle-Addition Lemma (Absolute Form)
  • 16. The Handle-Addition Lemma (Relative Form)
  • 17. Homotopy and Isotopy
  • 18. The Mapping Class Group
  • 19. Incompressibility
  • 20. The Compression-Algorithm
  • 21. The Haken Spectrum
  • 22. An Example
  • 23. The Handle-Addition Lemma (General Case)
  • 24. The Unknotting Theorem
  • 25. Distances for Heegaard Graphs
  • 26. Constructing Heegaard Graphs
  • 27. Haken Complexes and Heegaard Complexes
  • 28. Short Companions for Haken Graphs
  • 29. Invariant Regions for Long Arc-Sequences
  • 30. The Universal Limit for Induced Haken Graphs
  • 31. Finiteness for Heegaard Graphs
  • 32. Rigidity for Heegaard Graphs
  • 33. Reidemeister-Zieschang Problem
  • Appendix. Computing Surfaces.