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| Cairns S.S. — Introductory topology |
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| Предметный указатель |
LIMIT 49 51 54
Limit point 53
Linear complex 77
Linear simplex 76
Linear space 66
Linearly independent 71 97
Local homology group 159
Manifold 18 162
Manifold, homology 162
Manifold, relative (or mod A) 179
Manifold, topological 162
MAP 42
Mapping 42
Mapping, closed 55
Mapping, continuous 49 50 54
Mapping, extension of 42
Mapping, into 42
Mapping, inverse 43
mapping, one-to-one 43
Mapping, onto 42
Mapping, open 55
Mapping, restriction of 42
Mapping, simplicial 81 82
Matrix, normal incidence 115
mesh 61 86
Metric 56
Metric, space 57
Module, dual bases 233
Module, integral 231
Moebius strip 25
Neighborhood 52
Neighborhood, Spherical 56
Non-orient able 26
Non-orientable pseudomanifold 112
NULL 41
Null-homotopic 189
One-sided 26
One-to-one correspondence 43
One-to-one mapping 43
Open interval 48
Open mapping 55
Open set 49 51
Operator, boundary 165
Operator, coboundary 165
Operator, mod L 176
Operator, subdivision 141
Opposite faces 73
Order 75
Order of an element 228
Order partial 75
Orientable 27
Orientable pseudomanifold 112
Orientation, coherent 93
Orientation, induced 93
Orientation, like 111
Orientation, negative 111
Orientation, positive 111
Orientation, similar 111
Orientation, unlike 111
Oriented complex 92
Oriented simplex 90
Oriented simplex, singular 129
Oriented, coherently 93 112
Partition 45
Path 4 185
Path, closed 186
Path, edge 193
Path, equality 185
Path, homotopy 187
Path, product 186
Path, simple 186
Piecewise linear 81
Plane 70
Poincare duality theorem 173
Polygonal symbol 19
Polyhedral cell 87
Polyhedral complex 87
Polyhedral complex, subdivision of 87
Polyhedron 75
Polyhedron, simplicial 77
Polyhedron, topological 76
prism 144
Prism complex 145
Prism, floor of 144
Prism, roof of 144
PRODUCT 43
Product of mappings 43
Product, cartesian 45
Product, projection of 45
Product, topological 53
Projective plane 21
Projective space 155
Pseudomanifold with boundary 111
Pseudomanifold, closed 111
Pseudomanifold, coherently oriented 112
Pseudomanifold, non-orientable 112
Pseudomanifold, orientable 112
Pseudomanifold, relative (or mod L) 177
Pseudomanifold, topological 163
Quotient group 220
RANGE 42
Realization 78
Relation 44
Relation, domain of 44
Relation, equivalence 44
Relation, graph of 45
Relation, range of 44
Relation, reflexive 44
Relation, symmetric 44
Relation, transitive 44
Relations, defining 218
| Relations, dependent 218
Relations, group 217
Relations, independent 218
Residue class 218
Restriction 42
Roof complex 145
Row vector 223
Segment 48 66
Set 41
Set, closed 53
Set, open 49 51
Simplex, abstract 77
Simplex, boundary 72
Simplex, boundary face of 77
Simplex, closed 72
Simplex, face of 72
Simplex, inner points of 72
Simplex, linear 76
Simplex, open 72
Simplex, oriented 90
Simplex, singular 129
Simplex, singular boundary chain of 131
Simplex, singular boundary faces of 131
Simplex, singular closed 129
Simplex, singular equality of 129
Simplex, singular faces of 131
Simplex, singular linearity on 129
Simplex, singular oriented 129
Simplex, singular topological 76
Simplicial mapping 81 82
Simplicial polyhedron 77
Simplicial subdivision 88
Simply connected 191
Singleton 42
Singular chain 130
Singular cohomology 131
Singular complex 142
Singular homology 131
Singular simplex 129
Singular simplex, closed 129
Skeleton 76 88
Space of mappings 61
Space, compact 59
Space, Euclidean 48 50
Space, Hausdorff 55
Space, linear 66
Space, metric 57
Space, metric on 57
Space, metrizable 57
Space, oriented 111
Space, projective 155
Space, topological 51
Sperner’s lemma 134
Sphere 21
Sphere with crosscaps 21 29
Sphere with crosscaps and contours 3
Sphere with handles 29
Sphere with handles and contours 32
Sphere, homology 164
Sphere, topological 154
Sphere, unit 154
Star 135 142 154
Star, center of 154
Star, closed 154
Star, outer boundary of 154
Star-related 142
Subcomplex 75
Subdivision, barycentric 83
Subdivision, minimal central 88
Subdivision, operator 141
Subdivision, simplicial 88
Subgroup 219
Subgroup, proper 220
Subset 42
Subset, proper 42
surface 15 18
Surface, boundary of 15
Surface, closed 15
Surface, connected 15
Surface, non-orientable 26
Surface, one-sided 26
Surface, orientable 27
Surrounding complex 159
Topological complex 76
Topological polyhedron 76
Topological property 54
Topological simplex 76
Topological space 51
topology 52 54
Topology, base of 52
Topology, by a metric 57
Topology, discrete 52
Topology, induced 53 57
Topology, trivial 52
Torsion, base 119
Torsion, coefficient 97 116 228
Torsion, group 97
Torsion, singular 132
Torus 25
TREE 6
Triangulation 75 76
Triple of related chains 147
Unbounded 57
Unicursal 4
Unimodular 223
union 41 42
Unit sphere 154
vacuous 41
Vector 68 223
Vector, components 223
void 41
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