Handbook of Geometric TopologyElsevier, 20 déc. 2001 - 1144 pages Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. This volume, which is intended both as an introduction to the subject and as a wide ranging resouce for those already grounded in it, consists of 21 expository surveys written by leading experts and covering active areas of current research. They provide the reader with an up-to-date overview of this flourishing branch of mathematics. |
Table des matières
| 55 | |
| 93 | |
Chapter 4 Dehn surgery on knots | 165 |
Chapter 5 Piecewise linear topology | 219 |
Chapter 6 Geometric group theory | 261 |
Chapter 7 Infinite dimensional topology and shape theory | 307 |
Chapter 8 Nonpositive curvature and reflection groups | 373 |
Chapter 9 Cohomological dimension theory | 423 |
Chapter 14 Quantum invariants of 3manifolds | 707 |
Chapter 15 L2invariants of regular coverings of compact manifolds and CWcomplexes | 735 |
Chapter 16 Metric spaces of curvature k | 819 |
Chapter 17 Hyperbolic manifolds | 899 |
Chapter 18 Heegaard splittings of compact 3manifolds | 921 |
Chapter 19 Representations of 3manifold groups | 955 |
Chapter 20 Topological rigidity theorems | 1045 |
Chapter 21 Homology manifolds | 1085 |
Chapter 10 Flows with knotted closed orbits | 471 |
Chapter 11 Nielsen fixed point theory | 499 |
Chapter 12 Mapping class groups | 523 |
Chapter 13 Seifert manifolds | 635 |
| 1103 | |
| 1119 | |
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Expressions et termes fréquents
2-sphere 3-manifold abelian action algebraic Amer automorphism boundary components bundle Cayley graph circles closed cohomological dimension cohomology compact complex Conjecture construction contains COROLLARY Coxeter CW-complex defined DEFINITION Dehn twists denote diffeomorphism disjoint disk edge element embedded equivariant essential Euclidean Euler characteristic example extension finite group finitely presented fixed point function fundamental group genus geodesic geometric structure group G Heegaard splitting hence homeomorphic homology homotopy equivalence hyperbolic manifolds hyperbolic structure induced infinite integer intersection invariants irreducible isometries isomorphic isotopy isotopy classes knot Lemma Lie group linear map f mapping class groups Math metric space minimal curve Mods neighborhood non-trivial orbifold orbit orientable proof Proposition proved quotient result Riemannian manifold Section Seifert fibration sequence simplicial slope sphere subgroup subset Suppose surface surgery Teichmüller Teichmüller space Theorem theory Thurston TOPG Topology torsion torus triangulation trivial unique universal covering vertex vertices
Fréquemment cités
Page 90 - E. Ghys and P. de la Harpe, (eds.), Sur les Groupes Hyperboliques d'apres Mikhael Gromov, Prog. Math. 83 Birkhauser, Boston (1990). [G] M. Gromov, Hyperbolic groups, in: Essays in Group Theory (SM Gersten, ed.), MSRI Publ., 8 Springer-Verlag, New York (1987), pp.