|
|
 |
| Авторизация |
|
|
|
| Поиск по указателям |
|
|
|
|
|
|
|
 |
|
|
|
| Steenrod N.E. — The Topology of Fibre Bundles |
|
|
|
| Предметный указатель |
 -space 50
Absolute retract 55
Admissible map 38
Associated, bundle 43
Associated, bundle, base space 7
Associated, bundle, cross-section 171
Associated, bundle, map 41
Associated, bundle, translation 60
Boundary, homomorphism 75
Boundary, homomorphism of a cell 100
Bundle 13
Bundle, associated 43
Bundle, induced 47
Bundle, of coefficients 151
Bundle, of groups 151
Bundle, of linear spaces 24
Bundle, principal 35
Bundle, product 3 16
Bundle, relative 43
Bundle, simple 17 152
Bundle, space 7
Bundle, sphere 34
Bundle, square of a 49
Bundle, sub- 24
Bundle, tangent 5 23
Bundle, tangent sphere- 58
Bundle, tensor 22
Bundle, universal 101
Canonical cross-section 44
Carrier 159
Cayley numbers 108
cell 54 80 100
Cellular map 161
Chain, homomorphism 159
Chain, homomorphism, homotopy 159
Characteristic, class 61 66 95 178
Characteristic, class, class of Chern 210
Characteristic, class, class of Stiefel 199
Characteristic, class, class of Whitney 190
Characteristic, class, homomorphism 61 66 95
Characteristic, class, map 97 118 120 125
Chern characteristic classes 210
Coboundary operator 157 164
Coboundary operator, of a coefficient sequence 192
Cochain 156
Cochain, deformation 172
Cochain, difference 172
Cochain, elementary 201
Cochain, homotopy 160
Cocycle 157
Cocycle, obstruction 151 166
Coefficient, bundle 151
Coefficient, bundle, group 156
Coefficient, bundle, local 155
Cohomology, group 157
Cohomology, group, sequence 164 191
Compact open topology 19
COMPLEX 100
Complex, analytic manifold 209
Complex, product 101
Complex, projective space 108 136
Complex, sub- 100
Composition of curves 60
Connected, q- 149
Coordinate, bundle 7
Coordinate, bundle, function 7
Coordinate, bundle, neighborhood 7
Coordinate, bundle, system 20
Coordinate, bundle, transformation 8 14
Coset space 28
Covering, homotopy 50 54
Covering, homotopy, regular 70
Covering, homotopy, space 5 67
Covering, homotopy, transformation 70
Covering, homotopy, universal 71
Cross products of chains and cochains 170
Cross-section 3
Cross-section, associated 171
Cross-section, canonical 44
Cross-section, differentiable 25
Cross-section, induced 12
Cross-section, local 30
cube 72
Deformation cochain 172
Difference cochain 172
Differentiable, cross-section 25
Differentiable, cross-section, manifold 5 21
Disconnected, totally- 60
Discrete 60
Effective 7
Ehresmann 18 36
Elementary cochain 201
Equivalence, G - of bundles 17
Equivalence, G - of bundles, homotopy 77
Equivalence, G - of bundles, of coordinate bundles 8 11
Equivalence, G - of bundles, of coordinate transformations 11 15
Equivalence, G - of bundles, of fibre bundles 11
Equivalence, G - of bundles, of relative bundles 44
Equivalence, G - of bundles, weak 99
Essential 54
Euler number 203
Exactness 76
Excision 83
Extension, homotopy 176
Extension, homotopy, stepwise 148
Extension, homotopy, theorems 184
Face 72 100
Factor space 28
Feldbau 18 96
Fibre 7
Fibre, bundle 9
Fibre, over x 8
Frame, k- 33
Fundamental, group 61
Fundamental, group, n-cycle 200
G-equivalence of bundles 17 44
G-image of a bundle 16
Graph 186
Grassmann manifold 35 134
Group, coefficient 156
Group, cohomology 157
Group, fundamental 61
Group, homotopy 73
Group, Lie 32
Group, linear 21
| Group, of a bundle 7
Group, orthogonal 33
Group, rotation 34
Group, symplectic 106 127
Group, topological 6
Group, unitary 35 59 106 124
Homotopy, chain 159
Homotopy, classification 186
Homotopy, cochain 160
Homotopy, covering 50 54
Homotopy, equivalence 77
Homotopy, extension 176
Homotopy, group 73
Homotopy, of a bundle map 50
Homotopy, of a cross-section 167
Homotopy, relative-group 74
Homotopy, sequence 75 90
Hopf, invariant 113
Hopf, invariant, map 105
Hurewicz isomorphism 79
Image of a bundle 16
Index, Kronecker 158 200
Induced, bundle 47
Induced, bundle, cross-section 12
Induced, bundle, homomorphism of cohomology group 160
Induced, bundle, homomorphism of homotopy group 75
Induced, bundle, map 47
Inessential 54
k-field 141
k-frame 33
K-plane 142
Klein bottle 4
Kronecker index 158 200
Left translation 29
Lie group 32
Linear group 21
Local, coefficients 155
Local, coefficients, cross-section 30
Manifold 20
Manifold, complex analytic 209
Manifold, differentiable 5 21
Manifold, Grassmann 35 134
Manifold, orientable 22 199
Manifold, quasi-complex 209
Manifold, Stiefel 33 132 190
Map, admissible 38
Map, associated 41
Map, cellular 161
Map, characteristic 97 118 120 125
Map, Hopf 105
Map, induced 47
Map, natural 28 45
Map, of a bundle 9
Map, principal 37
Map, proper 161
Mapping transformation 10
Mobius band 3
Natural map 28 45
Normal form 96 119 124
Obstruction 149
Obstruction, cocycle 151 166
Obstruction, primary 178 187
Orientable, manifold 22 199
Orientable, sphere bundle 34
Orthogonal, group 33
Orthogonal, k-frame 33
Primary, difference 181
Primary, difference, obstruction 178 187
Principal, bundle 35
Principal, bundle, map 37
Product bundle 3 16
Projection 7
Proper map 161
q-simple 87
Quadratic form 204
Quasi-complex 209
Quaternion 37 105
refinement 12
Regular covering 70
Relative, bundle 43
Relative,cohomology group 157
Relative,homotopy group 74
retract 55
Right translation 39
Rotation group 34
Semi locally connected 64
Sequence, cohomology 164 191
Sequence, homotopy 75 90
Signature 204
Simple bundle 17 152
simplicity 87
Skeleton 100
Solid 54
Solid, carrier 159
Sphere bundle 34
Sphere bundle, orientable 34
Sphere bundle, tangent 58
Sphere bundle, unitary 210
Square of a bundle 49
Stationary 50
Stepwise extension 148
Stiefel manifolds 33 132 190
Subbundle 24
Subcomplex 100
Subdivision 161
Suspension 111 126
Symplectic group 106 127
System of coordinate transformations 14
Tangent, bundle 5 23
Tangent, sphere bundle 58
Tensor bundle 22
Topological transformation group 7
Torus 4 17
Totally disconnected 60
Translation, along a curve 59
Translation, left 29
Translation, right 39
Twisted torus 4 17
Uberdeckung 155
Unitary, group 35 59 106 124
Unitary, sphere bundle 210
Universal, bundle 101
Universal, covering 71
Weak equivalence 99
Weakly associated 43
Whitnev characteristic classes 190
|
|
|
| Реклама |
|
|
|
|
|
О проекте