000			04017cam a2200445 i 4500
001			17950065
003			OSt
005			20191010101459.0
008			131121s2014 riua b 001 0 eng
010			_a 2013046541
020			_a9781470410209 (hbk. : acidfree paper)
020			_a9781470454715 (Pbk)
040			_aDLC _beng _cIISER Bhopal _erda _dDLC
042			_apcc
082	0	0	_a514.34 Sch81I _223
084			_2msc
100	1		_aSchultens, Jennifer. _925488
222			_aNBHM collection
222			_aMathematics-reference book collection
245	1	0	_aIntroduction to 3-manifolds _cJennifer Schultens.
246	3		_aIntroduction to three-manifolds
260			_aProvidence: _bAmerican Mathematical Society, _c2019.
300			_ax, 286 pages : _billustrations ; _c27 cm.
490	0		_aGraduate studies in mathematics ; _vv. 151
504			_aIncludes bibliographical references (pages 275-282) and index.
505	0		_a1. Perspectives on Manifolds. 1.1. Topological Manifolds -- 1.2. Differentiable Manifolds -- 1.3. Oriented Manifolds -- 1.4. Triangulated Manifolds -- 1.5. Geometric Manifolds -- 1.6. Connected Sums -- 1.7. Equivalence of Categories -- 2. Surfaces. 2.1. A Few Facts about 1-Manifolds -- 2.2. Classification of Surfaces -- 2.3. Decompositions of Surfaces -- 2.4. Covering Spaces and Branched Covering Spaces -- 2.5. Homotopy and Isotopy on Surfaces -- 2.6. The Mapping Class Group -- 3. 3-Manifolds. 3.1. Bundles -- 3.2. The Schonflies Theorem -- 3.3. 3-Manifolds that are Prime but Reducible -- 3.4. Incompressible Surfaces -- 3.5. Dehn's Lemma* -- 3.6. Hierarchies* -- 3.7. Seifert Fibered Spaces -- 3.8. JSJ Decompositions -- 3.9. Compendium of Standard Arguments -- 4. Knots and Links in 3-Manifolds. 4.1. Knots and Links -- 4.2. Reidemeister Moves -- 4.3. Basic Constructions -- 4.4. Knot Invariants -- 4.5. Zoology -- 4.6. Braids -- 4.7. The Alexander Polynomial -- 4.8. Knots and Height Functions -- 4.9. The Knot Group* -- 4.10. Covering Spaces* -- 5. Triangulated 3-Manifolds. 5.1. Simplicial Complexes -- 5.2. Normal Surfaces -- 5.3. Diophantine Systems -- 5.4. 2-Spheres* -- 5.5. Prime Decompositions -- 5.6. Recognition Algorithms -- 5.7. PL Minimal Surfaces** -- 6. Heegaard Splittings. 6.1. Handle Decompositions -- 6.2. Heegaard Diagrams -- 6.3. Reducibility and Stabilization -- 6.4. Waldhausen's Theorem -- 6.5. Structural Theorems -- 6.6. The Rubinstein-Scharlemann Graphic -- 6.7. Weak Reducibility and Incompressible Surfaces -- 6.8. Generalized Heegaard Splittings -- 6.9. An Application -- 6.10. Heegaard Genus and Rank of Fundamental Group* -- 7. Further Topics. 7.1. Basic Hyperbolic Geometry -- 7.2. Hyperbolic n-Manifolds** -- 7.3. Dehn Surgery I -- 7.4. Dehn Surgery II -- 7.5. Foliations -- 7.6. Laminations -- 7.7. The Curve Complex -- 7.8. Through the Looking Glass.
650		0	_aThree-manifolds (Topology) _925489
650		0	_aTopological manifolds. _925490
650		0	_aManifolds (Mathematics) _925491
650		7	_aManifolds and cell complexes -- Topological manifolds -- Geometric structures on manifolds. _2msc _925492
650		7	_aManifolds and cell complexes -- Topological manifolds -- Neighborhoods of submanifolds. _2msc _925493
650		7	_aManifolds and cell complexes -- Topological manifolds -- General position and transversality. _2msc _925494
650		7	_aManifolds and cell complexes -- PL-topology -- Triangulating manifolds. _2msc _925495
650		7	_aManifolds and cell complexes -- PL-topology -- Comparison of PL-structures: classification, Hauptvermutung. _2msc _925496
650		7	_aManifolds and cell complexes -- PL-topology -- Regular neighborhoods. _2msc _925497
650		7	_aManifolds and cell complexes -- PL-topology -- Knots and links (in high dimensions). _2msc _925498
906			_a7 _bcbc _corignew _d1 _eecip _f20 _gy-gencatlg
942			_2ddc _cBK
999			_c9025 _d9025