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| Rourke C.P., Sanderson B.J. — Introduction to Piecewise-Linear Topology |
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| Предметный указатель |
Regular neighbourhood collaring theorem 36
Regular neighbourhood for pairs 52
Regular neighbourhood in manifolds 34
Regular neighbourhood theorem for pairs 53
Regular neighbourhood uniqueness theorem 33
Regular neighbourhood, bibliography 112
Regular neighbourhood, collapsing criterion 41
Regular neighbourhood, isotopy uniqueness (regular neighbourhood theorem) 38
Regular neighbourhood, notes 109
Relative h-cobordism theorem 87
Relative regular neighbourhoods 56
Relative regular neighbourhoods, bibliography 112
Relative regular neighbourhoods, notes 109
Reordering handles and the reordering lemma 76
s-cobordism theorem 88 et seq.
s-cobordism theorem, bibliography 114
s-cobordism theorem, notes 109
Schoenflies conjecture 47 50
Schoenflies, bibliography 113
Schoenflies, notes 110
Schoenflies, weak theorem 47
Shelling 40
Shelling for pairs 54
Sign of intersection 68
Simple connectivity 101
Simple homotopy, bibliography 113
Simple homotopy, equivalence, type 39 107
simplex 11
Simplex, boundary of 12
Simplex, face of 11
Simplex, vertex of 11
Simplicial collapsing, notes 109
Simplicial complement 32
Simplicial complex 16
Simplicial diagram 18
Simplicial join 23
Simplicial map 16
Simplicial neighbourhood 32
Simplicial neighbourhood theorem 34—35
Simplicial neighbourhood theorem for pairs 53
Simplicial, abstract complex 26
Singular cycle 99
Singular set 60
Singularity of cycle 98
Skeleton of complex 15
Smale’s h-cobordism theorem see “h-cobordism theorem”
Smoothing theory, bibliography 117
Spanning of cell 13
Spanning of simplex 11
Spanning subspace 12
Sphere 8
Sphere, criterion for unknotting 55
Sphere, homology of 99
Sphere, Joins of 23
Sphere, link of 69
Sphere, pairs of 50
Sphere, standard orientation of 45
Sphere, unknotting 64 91—92
| Standard ball and sphere pairs 50
Standard link 69
Standard mistake 6 108
Standard orientations 45
Star 2
Star in complex 15
Star pair 48
Starring, notes 109
Starring, stellar subdivision, stellar moves 15
Subcomplex 15
Subcomplex full 31
Subdivision 15
Subdivision counterexamples 19
Subdivision lemmas 16 17 19 31
Subdivision of CW complex 105
Subdivision of triangulation 18
Subdivision theorems 17 18
Subdivision, derived 20
Subdivision, stellar 15
Support of isotopy 37
Surgery, bibliography 116
Symmetrical handle decomposition 82
Torsion (Whitehead torsion) 40 104—107
Torsion and s-cobordism theorem 88 et seq.
Torsion, algebraic definition 106
Torsion, bibliography 115
Torsion, connection with homotopy equivalences 40 107
Torsion, connection with polyhedra 106
Torsion, constructing h-cobordisms with given 90
Torsion, geometric definition and properties 104 et seq.
Trail 40
Transversality 61
Transversality, bibliography 115
TREE 18
Triangulation 17
Triangulation of topological manifold, bibliography 118
Triangulation, subdivision of 18
Underlying polyhedron to cell complex 14
Unit interval 4
Universal coefficient theorem 100
Universal cover 102
Unknotted ball and sphere pairs 50
Unknotting theorems for balls and spheres in codimension  (Zeeman’s theorem) 50 52 55 64 91—92
Unknotting theorems for balls codimension 2 (Levine’s theorem) 92
Unknotting theorems, bibliography 113 116
Unknotting theorems, notes 111
Unlinking spheres 69 70
Vertex of cell 14
Vertex of simplex 11
Weak five dimensional theorems 93—94
Whitehead group of group 106
Whitehead group of space 104
Whitehead torsion see “Torsion”
Whitehead’s theorem 102
Whitney lemma 68 69 78
Whitney lemma non-simply-connected case 72
Whitney lemma notes 110
Zeeman’s Theorem see “unknotting”
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