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Topology and Combinatorics of 3-Manifolds / by Klaus Johannson
(Lecture Notes in Mathematics. ISSN:16179692 ; 1599)
版 | 1st ed. 1995. |
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出版者 | (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer) |
出版年 | 1995 |
大きさ | XVIII, 450 p : online resource |
著者標目 | *Johannson, Klaus author SpringerLink (Online service) |
件 名 | LCSH:Algebraic topology LCSH:Manifolds (Mathematics) LCSH:Group theory FREE:Algebraic Topology FREE:Manifolds and Cell Complexes FREE:Group Theory and Generalizations |
一般注記 | Handlebodies -- Relative handlebodies -- Generalized one-relator 3-manifolds -- N-relaton 3-manifolds -- The space of heegaard graphs 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 HTTP:URL=https://doi.org/10.1007/BFb0074005 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783540491811 |
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EB00210548 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA612-612.8 DC23:514.2 |
書誌ID | 4000109566 |
ISBN | 9783540491811 |
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