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Topology and Combinatorics of 3-Manifolds
  • Bandtyp: Häftad
  • Språk: Engelska
  • Utgiven: 199504
  • Antal sidor: 450
  • Upplaga: 1995 ed., 
    Vikt i gram: 1440
  • ISBN10:3540590633
  • ISBN13:9783540590637

Topology and Combinatorics of 3-Manifolds

(Häftad)
Beskrivning:

This book is a study of combinatorial structures of 3-mani- folds, especially Haken 3-manifolds. Specifically, it is concerned with Heegard graphs in Haken 3-manifolds, i.e., with graphs whose complements have a free fundamental group. These graphs always exist. They fix not only a combinatorial stucture but also a presentation for the fundamental group of the underlying 3-manifold. The starting point of the book is the result that the intersection of Heegard graphs with incompressible surfaces, or hierarchies of such surfaces, is very rigid. A number of finiteness results lead up to a ri- gidity theorem for Heegard graphs. The book is intended for graduate students and researchers in low-dimensional topolo- gy as well as combinatorial theory. It is self-contained and requires only a basic knowledge of the theory of 3-manifolds

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