Brown R.F., Gorniewicz L., Jiang B. — Handbook of Topological Fixed Point Theory :: Электронная библиотека попечительского совета мехмата МГУ

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Brown R.F., Gorniewicz L., Jiang B. — Handbook of Topological Fixed Point Theory

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Название: Handbook of Topological Fixed Point Theory

Авторы: Brown R.F., Gorniewicz L., Jiang B.

Аннотация:

This book is the first in the world literature presenting all new trends in topological fixed point theory. Until now all books connected to the topological fixed point theory were devoted only to some parts of this theory. This book will be especially useful for post-graduate students and researchers interested in the fixed point theory, particularly in topological methods in nonlinear analysis, differential equations and dynamical systems. The content is also likely to stimulate the interest of mathematical economists, population dynamics experts as well as theoretical physicists exploring the topological dynamics.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2005

Количество страниц: 271

Добавлена в каталог: 30.06.2008

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Предметный указатель

-diffeomorphism      743
by Mobius inversion from the $N\Phi_m(F)$       86 91 98
by naive addition      115
, realizing on tori      87
$N\Phi_n(f)$ , from the       99
$N\Phi_n(f)$ , from the       85 91
$N\Phi_n(f)$ , realization on tori      87
$N\Phi_n(f)$ , when N=0      86
$R_\delta$ -map      690
$R_\delta$ -set      688 853
$\alpha$ -close map      693
$\alpha$ -dominated      77
$\alpha$ -fixed point      693
$\Gamma$ -coordinate      628 629 632
$\Gamma$ -generalized Lefschetz number      636
$\Gamma$ -orthogonal map      305
$\gamma$ -set contraction map      62
$\mu$ -annular map      449
$\mu$ -retractiblemap      449
$\omega$ -fundamental set      726
$\phi$ -conjugacy      626 628
$\pi$ -coordinate      627 632
$\pi$ -generalized Lefschetz number      636 637
$\varepsilon$ -approximation      237
$\varepsilon$ -close mapping      74
$\varepsilon$ -dominated space      74
(H)-normal map      313
A-map      443
Abelianization      472 485
Absolute, degree      376 404 414
Absolute, neighbourhood, retract      67 688 729 730
Accretive map      836
Acting group      344
Acyclic, map      79 690
Acyclic, set      688 789
Addition procedure      602
Addition-excision      871 880
Additivity      23 64
Admissible, homotopy      751 752
Admissible, map      79 690 704 789
Admissible, pair      389 690 750 751
Alexander polynomial      183
Algebraic homotopy minimal periods      148
Algorithm, Wagner's      465 475
Almost, Bieberbach group      273
Almost, normal PL-arc      671
Almost-Wecken      654
Alternative theorem, Leray — Schauder type      880
Amann — Weiss axioms      751
Anosov theorem, circle      83
Anosov theorem, nilmanifolds      91
Anosov theorem, NR solvmanifolds      108
Anosov theorem, tori      85 123
ANR      688
Anti-commutativity      93
Anticoercive map      874
Antiperiodic boundary value problem      885
Appropriate compactum      75
Approximative ANR space      74
ar      688
Asymptotic, averaged guiding function      898
Asymptotic, Nielsen number      456
Asymptotic, Nielsen number of the complement      457
Asymptotic, part      907
Asymptotically compact map      56
Asymptotically stable solution      875
Attractive solution      875
Attractor      730
Autonomous bound set      884
Autonomous perturbation      322
Auxiliary equation      245
Average wind vector field      770
Averaged guiding function      894
Averaged guiding function, asymptotic      898
Axioms, Amann — Weiss      751
Axioms, Eilenberg — Steenrod      226
Basic relative Nielsen numbers      669
Betti numbers      786
Bi-orientable      314
Bifurcation index      355
Bifurcation, equation      246
Bifurcation, global      319
Bifurcation, Hopf      326
Bifurcation, point      352
Bifurcation, theorem, global      354 359 360
Bifurcation, theorem, local      353 358
Bihomotopy      444
Bimap      443
Bipath      444
Block      907
Block, isolating      907
Blow-uphomeomorphism      181
Boosting function      594
Borsuk — Ulam, theorem      872
Borsuk — Ulam, type      314
Bott periodicity      330
Bouligand cone      790
Bound set      884
Bound set, autonomous      884
Boundary, condition, Leray — Schauder      448
Boundary, conditions, Floquet      884
Boundary, dependence      759
Boundary, value problem, antiperiodic      885
Boundary, value problem, periodic      885
Boundary, value problem, singular      453
Boundary, value problem, three-point      450
Braid      179
Braid, elementary      178
Braid, freely isotopic      175
Braid, group      458
Braid, isotopic      173
Braid, n-      173
Braid, n-, freely isotopic      175
Braid, n-, full-twist      178
Braid, n-, geometric      173
Braid, pure      174
Braid, type      177 179
Braid, type, cyclic      176
Braid, type, pseudo-Anosov      196
Braid, type, reducible      196
Branch point      228
Branching point      353
Brouwer, degree      750 871
Brouwer, fixed point theorem      869
Bundle, tangent      749
Burau matrix      183
Burnsidering      289
By-passed condition      676
C-nilpotent      269
Cancelling procedure      577
Canonical form      192
Canonical homeomorphism      192
Caratheodory assumptions      775
Caristi theorem      833
Category of self-maps      632
Cauchy problem      868
Cell-likesets      853
Cellular, cohomology      234
Cellular, homology modules      234
Chain      439 912
Chain, NR      439
Chaotic dynamics      918
Chart      747
Circle, linearization      83
Clarke cone      790
Class of groups      269
Class, defective      19 546
Class, equivariant Lefschetz      290
Class, essential      26 277 493 539 704 707
Class, fixed point, common      661

Class, fixed point, essential      381
Class, fixed point, local      437
Class, fixed point, special      438
Class, fixed point, weakly common      666
Class, fundamental      716
Class, geometric inessential      21
Class, geometric, essential      21
Class, H-related      668
Class, homotopy related      20
Class, isogredience      276
Class, Nielsen      186 702 707 710
Class, nilpotency      91
Class, q-fixed point      435
Class, Reidemeister      19 187 702 709 711
Class, Reidemeister, essential      707
Class, Reidemeister, reducible      712
Class, root, essential      380
Class, root, Nielsen      378
Class, root, Reidemeister      385
Classical Wecken theorem for manifolds      556
Closure of complement      662
Co-normal maps      294
Coalescing procedure      605 606
Coercive map      802 874
Cohomological dimension      6 9
Cohomology, cellular      234
Coincidence      226 428 788
Coincidence in positive codimension      36
Coincidence index      23 25
Coincidence set      439
Coincidence, degree      879
Coincidence, examplecalculation on solvmanifold      113
Coincidence, Lefschetz      279
Coincidence, Lefschetz number      851
Coincidence, Nielsen equivalent relation      277
Coincidence, producing map      14
Coincidence, semi-index product formula      113
Common fixed point class      661
Common mod H fixed point class      435
Common mod(H, K) fixed point class      436
Commutativity      44 65 633 636
Commutativity of generalized Lefschetz number      637
Commutativity of Nielsen number      637
Commutator      94
Commuting constraint      100
Compact map      56 689 696 787
Compact, absorbing contraction      57 255
Compact, attractor      57
Compact, vector field      718
Compactly fixed, G-subset      288
Compactly fixed, homotopy      437
Compactly fixed, map      437
Complement      666
Complementing map      309
Completely continuous map      447
Component      192
Component, finite order      192
Component, pseudo-Anosov      192
Condensing map      62 689 787
Condition, boundary, Leray — Schauder      448
Condition, normality property      797
Condition, Opial      845
Condition, transversality      802
Condition, uniform tangency      858
Condition, weak tangency      794 814
Conditions, Nagumo      793
Cone      452
Cone, Boulingand      790
Cone, Clarke      790
Cone, contingent      790
Cone, Mordukhovic normal      791
Cone, normal      791
Cone, polar      786
Cone, proximally normal      791
Cone, tangent      744
Conjugacy      628
Conjugacy of liftings      621
Conjugacy, $\phi-$       626 628
Conley type index      729
Conley type indices      687 731—733
Connected point      194
Constrained coincidence problem      848
Constrained equilibrium      783
Contiguous      912
Contingent cone      790
Continuation, principle      721 723 724 728
Continuation, theorem      882
Continuation, theorem, Leray — Schauder type      881
Continuous map      220 689 787
Contractible set      688
Contractible set, locally      688
Contractive map      787
Control      450
Control, problem      450
Control, space      450
Controllable problem      450
Converse of the Lefschetz fixed point, theorem      639
Coordinate      187 628
Coordinate of fixed point class      627—629 632
Coordinate, functions      747
Coordinate, system      747
Corner      569
Correspondence inducedbymorphism      632
Correspondence, via commutation      633
Correspondence, via commutation, example of      634
Correspondence, via homotopy      630 631
Correspondence, via homotopy, example of      632
Covering, Hopf      378
Covering, orientable double      406
Covering, space, universal      620
Covering, translation      620
Critical point      747
Critical value      747
Cyclic braid type      176
Cyclically, different orbit      708
Cyclically, equalorbit      708
Decomposition      546
Defective class      19 546
Deformation      194
Deformation, lemma      822
Degree      871 879
Degree of vector field      755
Degree, absolute      376 404 414
Degree, Brouwer      750 871
Degree, coincidence      879
Degree, Leray — Schauder      878
Degree, orthogonal      306
Degree, topological      251 717 718 720
Demiclosed map      845
Derivative      746
Derivative, generalized directional      793
Derived series      92
Diameter      61
Differentiable map      445
Differential inclusion      455
Dimension of the representation      344
Direction, stable      941
Direction, unstable      941
Directional contraction      832
Dirichlet problem, parametrized      449
Dissipative system      870
Distance      785
Distance, Hausdorff      785
Divisible group      428
Dominated space      382
Duality map      791
Duality map, normalized      791
Dynamics, chaotic      918
Dynamics, symbolic      918
Eilenberg — Steenrod axioms      226

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