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|a 9783540491811
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|a Johannson, Klaus
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245 |
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|a Topology and Combinatorics of 3-Manifolds
|h Elektronische Ressource
|c by Klaus Johannson
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250 |
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|a 1st ed. 1995
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260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 1995, 1995
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300 |
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|a XVIII, 450 p
|b online resource
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0 |
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|a Handlebodies -- Relative handlebodies -- Generalized one-relator 3-manifolds -- N-relaton 3-manifolds -- The space of heegaard graphs
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653 |
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|a Group Theory and Generalizations
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653 |
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|a Algebraic Topology
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653 |
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|a Group theory
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653 |
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|a Manifolds and Cell Complexes
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653 |
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|a Algebraic topology
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653 |
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|a Manifolds (Mathematics)
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041 |
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|a eng
|2 ISO 639-2
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989 |
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|b SBA
|a Springer Book Archives -2004
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490 |
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|a Lecture Notes in Mathematics
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028 |
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|a 10.1007/BFb0074005
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|u https://doi.org/10.1007/BFb0074005?nosfx=y
|x Verlag
|3 Volltext
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|a 514.2
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|a 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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