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Record Nr. |
UNISA996466375203316 |
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Autore |
Johannson Klaus <1948-> |
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Titolo |
Topology and combinatorics Of 3-manifolds / / Klaus Johannson |
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Pubbl/distr/stampa |
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Berlin, Germany : , : Springer-Verlag, , [1995] |
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©1995 |
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ISBN |
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Edizione |
[1st ed. 1995.] |
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Descrizione fisica |
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1 online resource (XVIII, 450 p.) |
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Collana |
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Lecture Notes in Mathematics ; ; 1599 |
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Disciplina |
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Soggetti |
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Three-manifolds (Topology) |
Manifolds (Mathematics) |
Algebraic topology |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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Handlebodies -- Relative handlebodies -- Generalized one-relator 3-manifolds -- N-relaton 3-manifolds -- The space of heegaard graphs. |
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Sommario/riassunto |
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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. |
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