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| Авторизация |
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| Granas A., Dugundji J. — Fixed Point Theory |
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| Предметный указатель |
Continuity 247 495
Continuous deformation 92
Continuous deformation, functor 501
Continuous deformation, map 25 591
Continuous deformation, set-valued map 599
Continuous operator 605
Continuous operator, regular space 592
Contractible space 92
Contraction constant 9
Contractive field 11
Contractive field, map 9
Contravariant functor 371 619
Convergent map 593
Converse of Banach theorem 24
Convex closure 603
Convex closure, hull 600
Convex closure, map 38
Convex closure, set 599
Convexoid 462
Core 426
Counterimage 589
Covariant functor 371 618
Covering 593
Critical level 407
Critical level, point 106 367 460 551 407
Critical level, value 251 367 551
Cuplength 580
CW-complex 221
Cycle mod L 219
D-Cauchy sequence 594
D-function 407
Danes theorem 29
Darbo theorem 133
De Rham cohomology 362
Decomposition space 293
Dedekind-complete semilattice 31
Deformable space 294
Deformation 289
Deformation, retract 289
Degree 253 258 490 586 612
Degree for Sobolev maps 584
Degree for VMO maps 582
Degree generalized 527
Degree in Wiener spaces 586
Degree mod 2 545
Degree problem 249
Degree with respect to 6 270 274
Degree, equivariant 573
Deleting homeomorphism 62
Demiclosed field 81
Dense set 590
Dependence on boundary values 270 350
Derivative 36 604
Diagonal representation 367
Diameter of set 594
Differentiable map 604
Differential 612
Dimension axiom 495 560
Dimension axiom of polyhedron 198 175
Direct limit 402
Direct limit, limit group 614
Direct limit, product 609 600 609 612
Direct limit, system 402 614
Directed inward, vector field 244
Directed inward, vector field, outward, vector field 244
Directed inward, vector field, set 593
Dirichlet problem 181
Disconnected between A and B 319
disconnection 360
Discrete Banach theorem 19
Discrete topology 590
Distal family 172
Distance 594
Divisible family 457
Dold theorem 333
Dowker theorem 287
Drop 29
Dual class 175
Dual class of set-valued map 37 598
Dual class space 604
Dugundji comparison principle 391
Dugundji comparison principle, extension theorem 163 194
Dugundji — Fan theorem 244
Dynamic programming 22
Eberlein theorem 604 605
Eells Fournier theorem 490
Eigenvalue 22—1
Eigenvector 322
Eigenvector theorem, oil 13
Eigenvector, coincidence theorem 548
Ekeland theorem 30
Elementary KKM-principle 66 81
Elementary KKM-principle, relation 507
Elliptic complex 581
Embedding 591
End of triad 498
Endomorphism 581
Enlarged sequence 500
EPIC 601 609
Epimorphism 601 609
Equiconnected space 302
Equiconnecting data 282
Equicontinuous family 44 173
Equicontinuous family, equivalent metrics 594
Equicontinuous family, norms 55
Equicontinuous family, objects 370 617
Equicontinuous family, sequence 185
Equicontinuous family, subset 607
Equivariant degree 573
Equivariant degree, map 553
Essential component 329
Essential component, field 103 128 358
Essential component, fixed point 329
Essential component, fixed point class 488 577
Essential component, map 5 121
Essential component, space 296
Euclidean nbd 363
Euclidean nbd, neighborhood retract 301
Euler characteristic 232 405
Euler characteristic, number 229 418 421
Eventually compact map 427
Exact sequence 601 609 613
Exactness axiom 410 492 495
Excision 218
Excision, axiom 270 308 463
Excisive family 456
Excisive family, pair 384
Existence axiom 270 308 361
Expanding map 18 32
Expanding map, set-valued map 32
Exponent of characteristic value 606
Extendable map 7 92
Extension object 529
Extension object of map 589
Extension object of orientation 514
Extensor space 185 303
Extreme point 603
F-concave family 42
F-equivalent fixed points 487
F-family 177
F-map 142
F. C. Liu minimax inequality 145
F. Hahn theorem 173
F. Riesz theorem 606
Face 86 373
Factorization 6
Fan Browder theorem 143
Fan coincidence theorem 143
Fan coincidence theorem, family 177
Fan coincidence theorem, intersection theorem 150
| Fan coincidence theorem, map 142
Fan coincidence theorem, matching theorem 177
Fan coincidence theorem, minimax inequality 145
Fan coincidence theorem, theorem 146
Fan Iokhvidov theorem 189
Fiber 37 586 598
Fiber, product 534
Fiber, space 586
Fibration 296
Field associated with map 11
Finite covering 593
Finite covering, intersection property 39 593
Finite covering, type pair 406
Finite covering, type vector space 418
Finite-codimensional cohomology 491 505
Finite-dimensional map 112
Finite-dimensional map, set-valued map 166
Finitely closed set 39
Five-lemma (5—lemma) 610
Fixed point for family
Fixed point of set-valued map 37 598
Fixed point, class 487 577
Fixed point, free homotopy 120
Fixed point, index 305 308 317
Fixed point, property 108
Fixed point, space 2 102 108
Flat 600
Forced oscillation 580
Forgetful functor 403 618
FRACTION 533
Fredholm alternative 130 135
Fredholm alternative, index 605
Fredholm alternative, map 367 605
Free Abelian group 610 611
Free abelian group, group functor 403
Free abelian group, presentation 611
Frum - Ketkov and Nussbaum theorem 100
Full subcategory 493
Functor-chain 403
Fundamental theorem of algebra 243
G-hereditary property 484
G-skeleton 250
Gale - Debreu theorem, generalized 180
Game theory 192
General homotopy invariance 363
General homotopy invariance, homotopy invariance theorem 318
Generalized degree 527
Generalized degree, homotopy invariance theorem 351
Generalized degree, image 438
Generalized degree, kernel 327
Generalized degree, Lefschetz number 418 421 537
Generalized degree, limit 47 50
Generated by metric, topology 594
Generic map 252 552
Genus 247 248
Geometric KKM-principle 40 48
Geometric KKM-principle, KKM-theory 48
Graded abelian group 612
Graded abelian group, cohomology group 613
Graded abelian group, homology group 613
Graded abelian group, singular homology group 374
Graph of set-valued map 37 598
Grassmannian 558
Group of bounding n-cycles 376
Group of bounding n-cycles of coefficients 386 410 528
Group of bounding n-cycles of n-boundarios 206
Group of bounding n-cycles of n-cycles 206 375
Group of bounding n-cycles of n-dimensional chains 205
Group of bounding n-cycles of singular n-boundaries 373
Group of bounding n-cycles of singular n-cycles 373
h-category 492
H-dominated set 360
H-equivalent objects 492
H-equivalent objects, sets 360
H-function 406
h-functor 492
H-invertible morphism 492
H-subcategorv 492
Haar measure 50
Hahn Banach principle 602
Hahn Banach principle, theorem 73 84 602
Hamiltonian map 579
Hammerstein operator 114
Hanner - Dugundji domination theorem 301
Hanner theorem 286 484
Hardy-Littlewood-Polya theorem 49
Hartman Stampacchia theorem 49 67 7
Hausdorff metric 28
Hausdorff metric, space 591
Hausdorff metric, theorem 595
Hemicontinuous map 67 78
hessian 460
Hibert cube 4 7 109
Hibert cube, space 606
Himmelberg theorem 190
Holder continuous function 607
Holder continuous function, norm 345
Holder continuous function, space 345 607
Homeomorphic spaces 591
Homeomorphism 591
Homological degree 400
Homologically trivial map 421
Homologous chains 219
Homologous chains, cycles 206 373
Homology class 206 373
Homology class of finite type 565
Homology class, functor 613
Homology class, group 206 215 376 403 613
Homology sequence of triple 217 377
Homology sequence of triple, theory 386
Homomorphism 60 612
Homotopic fields 128
Homotopic fields in  maps 552
Homotopic fields in  maps 553
Homotopic fields, maps 92 367
Homotopically nontrivial map 299
Homotopy 5 92
Homotopy in h-category 492
Homotopy in VMO 583
Homotopy, axiom 270 308 335 358 361 410 463 491 495 521
Homotopy, class 92
Homotopy, equivalent objects 492
Homotopy, equivalent pairs 387
Homotopy, extension lemma 554 300
Homotopy, invariance 405
Homotopy, invariant functor 492
Homotopy, invertible morphism 492
Hopf Hurewicz map 528
Hopf index theorem 458
Hopf index theorem, theorem 241
Hopf Rothe theorem 358
Hopf — Lefschetz theorem 35
Hurewicz Dugundji Dowker theorem 412
Hyperbolic isomorphism 22
Identification 293
Identification, map 293
Identification, topology 292
identity map 589
IF-system 22
Image of homomorphism 609
Image of homomorphism of map 589
Image of homomorphism of operator 600
Image of homomorphism of set-valued map 37 598
Image of homomorphism, generalized 438
Implicit function theorem 13 79
inclusion 589
Indecomposable element 391
INDEX 253 270 326 463
Index for  -maps of compact ANRs 550
Index for -maps of compact ANRs for Z-acyclic maps of ENRs 550
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