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                    | Geroch R. — Mathematical physics |  
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                    | Предметный указатель |  
                    | | Abelian group      17 Abelian group, category of      18
 Abelian group, free      19
 Accumulation point      163
 Additive group of integers      16
 Additive group of reals      16
 Adjoint of bounded operator      289
 Adjoint of operator      329
 Algebra, associative      97
 Algebra, C*-      290
 Algebra, category of associative      97
 Algebra, category of Lie      105
 Algebra, free associative      98
 Algebra, Lie      104
 Algebra, quotient      102 105
 Algebra, universal enveloping      106
 Almost everywhere      266
 Associative algebra, category of complex      98
 Associative algebra, category of real      98
 Associative algebra, complex      97
 Associative algebra, free      98
 Associative algebra, homomorphism of      98
 Associative algebra, ideal of      101
 Associative algebra, quotient of      102
 Associative algebra, real      97
 Associative algebra, representation of      125
 Associative algebra, subalgebra of      101
 Associative algebra, unit of      103
 Basis for Hilbert space      283
 Basis for vector space      47
 Boundary in homology      204
 Boundary in topology      140
 Bounded above      40
 Bounded operator      285
 Bounded operator, adjoint of      289
 Bounded operator, eigenvalue of      293
 Bounded operator, eigenvector of      293
 Bounded operator, inverse of      295
 Bounded operator, invertible      295
 Bounded operator, norm of      286
 Bounded operator, regular value of      295
 Bounded operator, spectrum of      295
 C*-algebra      290
 Cantor set      255
 Cartesian product      10
 Casimir subalgebra      109
 Category      3
 Category of Abelian groups      18
 Category of complete topological groups      237
 Category of complete topological vector spaces      244
 Category of complete uniform spaces      227
 Category of complex associative algebras      98
 Category of complex Lie algebras      105
 Category of complex vector spaces      45
 Category of groups      18
 Category of Hausdorff topological spaces      154
 Category of real associative algebras      98
 Category of real Lie algebras      105
 Category of real vector spaces      45
 Category of sets      4
 Category of topological groups      236
 Category of topological spaces      154
 Category of topological vector spaces      244
 Category of uniform spaces      223
 Category, composition in      3
 Category, direct product      8
 Category, direct sum      8
 Category, epimorphism      4
 Category, identity morphism      3
 Category, isomorphism      7
 Category, monomorphism      4
 Category, morphism      3
 Category, object      3
 Category, subobject      7
 Cauchy net      225
 Cauchy sequence      225
 Center of a group      31
 Closed operator      340
 Closed set      138
 Closure      140
 Coarser topology      142
 Cohomology group      216
 Commutator subgroup      30
 Commute (diagram)      8
 Compact      165 167
 Compact, locally      171
 Compact-open topology      172
 Complement of a set      134
 Complementary subspace      54
 Complete topological group      237
 Complete topological group, category of      234
 Complete topological vector space      244
 Complete topological vector space, category of      244
 Complete uniform space      225
 Complete uniform space, category of      227
 Completion of a topological group      237
 Completion of a topological vector space      244
 Completion of a uniform space      277
 Complex associative algebra      97
 Complex associative algebra, category of      98
 Complex Lie algebra      104
 Complex Lie algebra, category of      105
 Complex vector space      44
 Complex vector space, category of      45
 Component      180
 Composition of functors      94
 Composition of mappings      4
 Composition of morphisms      3
 Configuration operator      332
 Connected      177 178
 Connected component      180
 continuous      147
 Continuous, homomorphism      236
 Continuous, linear mapping      244
 Continuous, uniformly      222
 Continuous, upper semi-      314
 Contractible      198
 Contravariant functor      92
 Converge      161
 Converge in measure      269
 Convex      246
 Convex, locally      246
 Coset in group      26
 Coset in vector space      54
 Countable      7
 Covariant functor      90
 Covering      165
 Curve      195
 CYCLE      206
 Dense      326
 Derivative of a distribution      273
 Diagonal      217
 Diagram      8
 Diagram, commutative      8
 Dimension of vector space      51
 Dirac delta distribution      271
 Direct product      8
 Direct product of groups      35
 Direct product of representations      121
 Direct product of sets      10
 Direct product of topological groups      239
 Direct product of topological spaces      155
 Direct product of uniform spaces      224
 Direct product of vector spaces      59
 Direct sum      8
 Direct sum of abelian groups      36
 Direct sum of Hilbert spaces      284
 Direct sum of representations      121
 Direct sum of sets      11
 Direct sum of topological groups      238
 
 | Direct sum of topological spaces      157 Direct sum of topological vector spaces      246
 Direct sum of uniform spaces      224
 Direct sum of vector spaces      59
 Directed set      160
 Discrete topology      136
 Disjoint union of measure spaces      257
 Disjoint union of sets      11
 distribution      271
 Distribution, derivative of      273
 Distribution, Dirac delta      271
 Distribution, order of      274
 Distribution, product of      273
 Distribution, sum of      272
 Distribution, support of      274
 Domain of an operator      325
 Dual of a vector space      65
 Eigenvalue      293
 Eigenvector      293
 Empty set      134
 Entourage      217
 Enveloping algebra, universal      106
 Epimorphism      5
 Equivalence, class      39
 Equivalence, relation      39
 Equivalence, relation generated by      39
 Euclidean topology      242
 Extended reals (R*)      249
 Extension of an operator      325
 Faithful representation      124
 Finer topology      142
 First homotopy group      194
 Free Abelian group      22
 Free associative algebra      98
 Free group      19
 Free Hilbert space      284
 Free object      94
 Free topological space      154
 Free vector space      45
 Function, integrable      263 264
 Function, integrable step      262
 Function, measurable      259
 Function, step      260
 Function, support of      270
 Function, upper semicontinuous      314
 Functor, composition of      94
 Functor, contravariant      92
 Functor, covariant      90
 Functor, forgetful      91
 Functor, homology      216
 Generated equivalence relation      39
 Generated ideal      101 105
 Generated normal subgroup      29
 Generated subalgebra      101 105
 Generated subgroup      25
 Generated subspace, of a Hilbert space      281
 Generated subspace, of vector space      53
 Generated topology      143
 Group      16
 Group of integers      16
 Group of reals      16
 Group, abelian      17
 Group, algebra      98
 Group, category of      18
 Group, category of abelian      18
 Group, category of complete topological      237
 Group, category of topological      236
 Group, center of      31
 Group, cohomology      216
 Group, commutator sub-      30
 Group, complete topological      237
 Group, coset      26
 Group, first homotopy      194
 Group, free      19
 Group, free abelian      22
 Group, homology      208
 Group, homomorphism of      17
 Group, identity      16
 Group, inner isomorphism      33
 Group, inverse      16
 Group, normal sub-      29
 Group, permutation      17
 Group, quotient      30
 Group, representation of      125
 Group, sub-      18
 Group, topological      234
 Group, topological, of reals      235
 Hausdorff topological space      144
 Hausdorff topological space, category of      154
 Hermitian operator      290
 Hermitian operator, spectral family of      319
 Hilbert space      277
 Hilbert space, bounded operator      285
 Hilbert space, free      284
 Hilbert space, generated subspace      281
 Hilbert space, inner product      277
 Hilbert space, operator      325
 Hilbert space, orthonormal basis      283
 Hilbert space, subspace of      280
 Homologous      207
 Homomorphism of associative algebras      98
 Homomorphism of groups      17
 Homomorphism of Lie algebras      104
 Homomorphism, continuous      236
 Homomorphism, image      33
 Homomorphism, kernel      33
 Homotopic      189
 Homotopy      190
 Homotopy group      194
 Ideal of associative algebra      101
 Ideal of Lie algebra      105
 Ideal, generated      101 105
 Identity in group      16
 Identity, morphism      3
 Image of homomorphism      33
 Image of linear mapping      58
 Image of mapping      134
 Indiscrete topology      136
 Induced topology      150 151
 Infinite-dimensional vector space      51
 Inner isomorphism      33
 Inner product      277
 Integers, additive group of      16
 Integrable function      263 264
 Integrable step function      262
 Integral of function      264
 Integral of step function      262
 Interior      140
 Invariant subobject      122
 Inverse in group      16
 Inverse of bounded operator      295
 Inverse, image of mapping      134
 Invertible operator      295
 Irreducible representation      128
 Isomorphism      7
 Isomorphism of Hilbert spaces      284
 Isomorphism of topological spaces      154
 Isomorphism, inner, of group      33
 Jacobi relation      104
 Kernel of homomorphism      32
 Kernel of linear mapping      58
 Lebesque measure      253
 Left coset      26
 Lie algebra      104
 Lie algebra, Casimir subalgebra      109
 Lie algebra, category of complex      105
 Lie algebra, category of real      105
 Lie algebra, complex      104
 Lie algebra, homomorphism of      104
 Lie algebra, ideal of      105
 
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