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Авторизация |
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Поиск по указателям |
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Geroch R. — Mathematical physics |
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Предметный указатель |
Lie algebra, quotient algebra 105
Lie algebra, real 104
Lie algebra, representation of 127
Lie algebra, subalgebra of 105
Lie algebra, universal enveloping algebra 106
Limit point 161
linear combination 46
Linear mapping 45
Linear mapping, continuous 244
Linear mapping, image of 58
Linear mapping, kernel of 58
Linearly independent 47
Locally compact 171
Locally simply connected 198
Loop 189
Loop space 189
Loop, zero loop 189
Mapping, continuous 147
Mapping, continuous linear 244
Mapping, image of 134
Mapping, inverse image of 134
Mapping, linear 45
Mapping, uniformly continuous 222
Maximal element 41
Measurable function 259
Measurable set 249
Measure of a set 249
Measure space 249
Measure space, disjoint union 257
Measure space, integral 264
Measure space, product 258
Measure space, sum 257
Measure subspace 257
Measure, convergence in 269
Measure, Lebesque 253
Metric space 137
Momentum operator 333
Monomorphism 4
Morphism 3
Morphism, epi- 4
Morphism, identity 3
Morphism, iso- 7
Morphism, mono- 4
Multilinear mapping 71
n-cycle 206
n-cycle, boundary of 204
n-cycle, homologous 207
n-simplex 199
Neighborhood 138
Net 161
Net, accumulation point of 163
Net, Cauchy 225
Net, convergence of 161
Net, limit point of 161
Norm of operator 286
Norm of vector 277
Normal subgroup 29
Normal subgroup, generated 29
Object 3
Object, morphism of 3
Object, sub- 7
Open set 136
Operator 325
Operator, adjoint of 289 329
Operator, bounded 285
Operator, closed 340
Operator, configuration 332
Operator, domain of 325
Operator, eigenvalue 293
Operator, eigenvector 293
Operator, equality of 325
Operator, extension of 325
Operator, hermitian 290
Operator, inverse 295
Operator, invertible 295
Operator, momentum 333
Operator, projection 290
Operator, regular value 295
Operator, self-adjoint 330
Operator, spectral family of 319
Operator, spectrum of 295 339
Operator, unitary 292
Ordered by inclusion 40
Ordered partially 40
Ordered totally 40
Orthogonal vectors 281
Orthonormal basis 283
Partial ordering 40
Permutation group 17
Plane, punctured 188
Plane, topological 138
Product of measure spaces 258
Product, cartesian 10
Product, direct 18
Product, inner 277
Product, tensor 72
Projection operator 290
Punctured plane 188
Quotient, algebra 102 105
Quotient, group 30
Quotient, topology 152
Quotient, vector space 54
Real associative algebra 97
Real associative algebra, category of 98
Real Lie algebra 104
Real Lie algebra, category of 105
Real line 137
Real vector space 44
Real vector space, category of 45
Reals, additive group of 16
Reals, measure space of 253
Reals, topological group of 235
Reals, uniform space of 218
Region of integration 266
Regular value of operator 295
Relation 39
Relation, equivalence 39
Reparameterization 191
Representation 120 125
Representation of a group 125
Representation of a Lie algebra 125
Representation of associative algebra 125
Representation of object 120
Representation on vector space 125
Representation, direct product of 121
Representation, direct sum of 121
Representation, faithful 124
Representation, irreducible 128
Representation, right coset 26
Representation, sub- 122
Representation, tensor product of 126
Self-adjoint operator 330
Semigroup 103
SEQUENCE 160
Sequence, Cauchy 225
Set Cantor 255
| Set, Cartesian product of 10
Set, category of 4
Set, disjoint union of 11
Set, empty 134
simplex 199
Simply connected 194
Space, Hilbert 277
Space, loop 189
Space, measure 249
Space, metric 137
Space, topological 136
Space, uniform 217
Space, vector 44
span 47
Spectral family 319
Spectrum of bounded operator 295
Spectrum of self-adjoint operator 339
square-integrable 279
Step function 260
Step function, integrable 262
Step function, integral of 262
Subalgebra of associative algebra 101
Subalgebra of Lie algebra 105
Subalgebra, Casimir 109
Subalgebra, generated 101 105
Subobject 7
Subobject, invariant 122
Subrepresentation 122
Subset 134
Subspace of Hilbert space 280
Subspace of vector space 53
Subspace, generated 53 281
Subspace, topological 151
Subspace, uniform 227
Subspaces, complementary 54
Sum direct 8
Sum of distributions 272
Sum of measures 257
Sum of vectors 44
Superset 134
Support of distribution 274
Support of function 270
Tensor product of representations 126
Tensor product of vector spaces 72
Topological group 234
Topological group of reals 235
Topological group, category of 236
Topological group, category of complete 237
Topological group, complete 237
Topological group, completion of 237
Topological group, continuous homomorphism of 236
Topological plane 138
Topological space 136
Topological space, category of 154
Topological space, category of Hausdorff 154
Topological space, cohomology group 216
Topological space, connected 177
Topological space, connected component of 180
Topological space, contractible 198
Topological space, dense subset of 326
Topological space, direct product 155
Topological space, direct sum 157
Topological space, hausdorff 144
Topological space, homology group 208
Topological space, homotopy group 194
Topological space, isomorphism of 154
Topological space, locally compact 171
Topological space, locally simply connected 198
Topological space, net 161
Topological space, sequence 160
Topological space, simply connected 194
Topological space, subspace 151
Topological space, totally disconnected 181
Topological vector space 240
Topological vector space, category of 244
Topological vector space, category of complete 244
Topological vector space, complete 244
Topological vector space, completion of 244
Topological vector space, complex 242
Topological vector space, continuous, linear mapping 244
Topological vector space, real 240
topology 136
Topology, coarser 142
Topology, compact-open 172
Topology, discrete 136
Topology, finer 142
Topology, generated 143
Topology, indiscrete 136
Topology, induced 150 151
Topology, quotient 152
Totally disconnected 181
Totally ordered 40
Uniform space 217
Uniform space of reals 218
Uniform space, category of 223
Uniform space, category of complete 227
Uniform space, complete 226
Uniform space, completion of 227
Uniform space, entourage 217
Uniform space, subspace 227
Uniform space, uniformly continuous mapping 222
Uniformity 218
Uniformly continuous mapping 222
Union, disjoint 11
Unit of associative algebra 103
Unitary operator 292
Universal enveloping algebra 106
Upper semicontinuous 314
Vector 44
Vector space 44
Vector space, basis 47
Vector space, category of complex 45
Vector space, category of real 45
Vector space, category of topological 244
Vector space, complementary subspace 54
Vector space, complete topological 244
Vector space, completion of topological 244
Vector space, complex 44
Vector space, coset 54
Vector space, dimension of 51
Vector space, direct product of 59
Vector space, direct sum of 59
Vector space, dual of 65
Vector space, free 45
Vector space, infinite-dimensional 51
Vector space, linear mapping of 45
Vector space, multilinear mapping of 71
Vector space, quotient space 54
Vector space, real 44
Vector space, representation of 125
Vector space, subspace 53
Vector space, tensor product of 72
Vector space, topological 240
Vectors, linear combination of 46
Vectors, linearly independent 47
Vectors, span 47
Zero loop 189
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