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Autore: | Johannson Klaus <1948-> |
Titolo: | Topology and combinatorics Of 3-manifolds / / Klaus Johannson |
Pubblicazione: | Berlin, Germany : , : Springer-Verlag, , [1995] |
©1995 | |
Edizione: | 1st ed. 1995. |
Descrizione fisica: | 1 online resource (XVIII, 450 p.) |
Disciplina: | 514.3 |
Soggetto topico: | Three-manifolds (Topology) |
Manifolds (Mathematics) | |
Algebraic topology | |
Note generali: | Bibliographic Level Mode of Issuance: Monograph |
Nota di contenuto: | Handlebodies -- Relative handlebodies -- Generalized one-relator 3-manifolds -- N-relaton 3-manifolds -- The space of heegaard graphs. |
Sommario/riassunto: | 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 structure 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. |
Titolo autorizzato: | Topology and combinatorics of 3-manifolds |
ISBN: | 3-540-49181-3 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 996466375203316 |
Lo trovi qui: | Univ. di Salerno |
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