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Opis

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

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Mathematics Combinatorics & graph theory

• Pełny tytuł: Topology and Combinatorics of 3-Manifolds
• Autor: Klaus Johannson
• Język: Angielski
• Oprawa: Miękka
• Liczba stron: 450
• EAN: 9783540590637
• ISBN: 3540590633
• ID: 01565926
• Wydawca: Springer, Berlin
• Waga: 702 g
• Wymiary: 239 × 152 × 23 mm
• Rok wydania: 2008

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