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

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

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Nonempty fixed point class, correspondence via commutation      633
Nonempty fixed point class, correspondence via homotopy      630
Nonexpansive map      787
Nonorientable map      407
Nonsingular measure      786
Normal cone      791
Normal map      311 313
Normal PL-arc      569
Normality condition      797
Normalization      23 65 871 880
Normalizedduality map      791
Normed space      785
NR chain      439
NR solvmanifold      108
nth obstruction map      234
Number, Betty      786
Number, geometric Nielsen coincidence      21
Number, Lefschetz      49 53 691—693 704 724 789
Number, Lefschetz, for condensing maps      698
Number, Lefschetz, for periodic points      696
Number, Lefschetz, generalized      691 693 695 696 789
Number, Lefschetz, ordinary      691
Number, Lefschetz, relative      695
Number, linking      179
Number, mod H      435
Number, Nielsen      647 699
Number, Nielsen intersection      459
Number, Nielsen of complement      457
Number, Nielsen, asymptotic      456 457
Number, Nielsen, basic relative      669
Number, Nielsen, coincidence      26 655
Number, Nielsen, extension      437
Number, Nielsen, for periodic points      708
Number, Nielsen, local      437
Number, Nielsen, local mod H      440
Number, Nielsen, mod H      434
Number, Nielsen, modulo H      704
Number, Nielsen, relative      653 662 706
Number, Nielsen, semi-index      546
Number, q-Nielsen number      435
Number, root, minimum      375
Number, root, Nielsen      550
Number, root, Reidemeister      385
Number, Schirmer      435
Number, Schirmer — Nielsen      291
Number, winding      252
Operator, evaluation      853
Operator, flow      762
Operator, Fredholm      453
Operator, Fredholm of index zero      451
Operator, Poincare      853 868
Operator, T-translation, Poincare      768
Opial condition      845
Optimal controlproblem      450
Orbit      765 907
Orbit, cyclically different      708
Orbit, cyclicallyequal      708
Orbit, essential      596 711
Orbit, hyperbolic      319
Orbit, k-periodic of coincidences      708
Orbit, k-periodic of Reidemeister class      596 711
Orbit, periodic      907
Orbit, periodic, linked      209
Orbit, periodic, monotone      207
Orbit, primary      456
Orbit, reducible      711
Orbit, twisted      322
Order, finite      191 196
Ordinary, Lefschetz number      691
Ordinary, trace      44
Orientable, double covering      406
Orientable, fibration      496
Orientable, map      407
Orientation, preserving and reversing loops      406
Orientation, system      14
Orientation, true      407
Orientation, true map      14
Orthogonal, degree      306
Orthogonal, representation      344
p(n)      86
p-periodic point      179
Pair of compact polyhedra      659
Pair, admissible      389 690 750 751
Pair, regular      754 757
Pair, selected      79
Pair, strongly admissible      750
Pair, Wecken      681
pants      648
Parametrization      747
Parametrized Dirichlet problem      449
Parityhomomorphism      537
Path, Nielsen      660
Path, q-special      571
Path, q-specially homotopic      571
Path, special      671
Path, specially homotopic      671
per(f)      84 121
Per(F)-finite      121
Period of the point      179
Period, doubling      313 320
Period, minimal      84
Period, minimum      456
Periodic, boundary value problem      885
Periodic, homeomorphism      191
Periodic, orbit      907
Periodic, orbit, linked      209
Periodic, orbit, monotone      207
Periodic, point      73 84 179 456 907
Periodic, segment      912
Periodic, solution      868
Phase, locking      321
Phase, space      906
Piece of compact space      220
PL-arc      569
PL-arc, almost normal      671
PL-arc, normal      569
PL-path      569
Poincare — Bohl type existence theorem      881
Poincare — Hopf theorem      759
Poincare, map      910
Poincare, operator      853 868
Poincare, T-translation operator      768
Point of coincidence      226
Point ofperiod m      129
Point, $\alpha$-fixed      693
Point, bifurcation      352
Point, branch      228
Point, connected      194
Point, critical      747
Point, equilibrium      717
Point, fixed, f-Nielsen equivalent      186
Point, fixed, linked      209
Point, local cut      671
Point, local separating      560
Point, m-periodic      129
Point, n-periodic      698
Point, Nielsen equivalent      18
Point, p-periodic      179
Point, periodic      73 84 179 456 907
Point, regular      747
Point, rest      764
Point, singular      746
Point, starting      773 774
Point, starting, trivial      773
Point, stationary      907
Point, unremovable      194
Point, v-periodic      206
Points, H-related      194
Polar cone      786
Polyhedron, type S      441
Positive faces      883
Positive semi-trajectory      907
Positively invariant set      869
Power series, Lefschetz      296 697
Preceding system      597
Primary orbit      456
Prime, divisors      86 98
Prime, Nielsen — Jiang periodic number      146
Problem of J. Leray      715
Problem, boundary value, singular      453
Problem, boundary value, three-point      450
Problem, constrained coincidence      848
Problem, control optimal      450
Problem, controllable      450
Problem, external      848
Problem, parametrized Dirichlet      449
Procedure, addition      602
Procedure, cancelling      577
Procedure, coalescing      605 606
Process, local      910
Products, semi-inner      836
Proper map      403 788
Property (MRN)      484
Property, additivity      64
Property, existence      64
Property, hereditary      743
Property, homotopy      64
Property, Kamke      761
Property, local      743
Property, localization      23
Property, special homotopy extension      571
Property, strong normalization      753
Property, Wecken      27 648
Proximal normals      791
Proximally normal cone      791
Proximate retract      813
Proximinal set      820
Proximity map      563 671
Pseudo-Anosov braid type      196
Pseudo-Anosov component      192
Pseudo-Anosov homeomorphism      457 652
Pseudo-Anosov relative homeomorphism      191
Pure braid      174
q-fixed point class      435
Q-Nielsen number      435
Q-special path      571
Q-specially homotopic paths      571
R-related elements      545
Real Banach space      785
Reducible, braid type      196
Reducible, homeomorphism      192
Reducible, orbit      711
Reducible, Reidemeister class      596 712
Reducing curves      192
Reduction      880
Reference path      626 631
Regular, measure      786
Regular, normal map      313
Regular, pair      754 757
Regular, point      747
Regular, polyfacial set      883
Reidemeister, action      439
Reidemeister, class      187
Reidemeister, class, reducible      596
Reidemeister, classes      19 702 707 709 711
Reidemeister, classes, essential      707
Reidemeister, classes, orbits      596
Reidemeister, classes, set      593
Reidemeister, equivalent elements      186
Reidemeister, number      626 629
Reidemeister, number, commutativity      633
Reidemeister, number, homotopy invariance      632
Reidemeister, number, root      385
Reidemeister, set      626
Reidemeister, structure      475
Reidemeister, trace      27 467 468
Reidemeister, trace formula      637
Reidemeister, trace, local      439
Relation, forcing      200
Relative, Conley type inde      734
Relative, Conley type index      732 733
Relative, Lefschetz fixed point theorem      72
Relative, Lefschetz number      695
Relative, map      659
Relative, Nielsen number      429 653 662 706
Remnant      477 478
Reparametrization      585
Representation of a compact Lie group      344
Rest, point index      764
Rest, points      764
Retract, absolute      688
Retract, absolute, neighbourhood      688
Retract, proximate      813
Retraction      750
Rigidity of lattices      137
Root      268 375 550
Root index      389
Root index integer      395
Root, class, essential      380
Root, class, Nielsen      378
Root, essential      380 550
Root, irreducible      429
Root, Nielsen class      378
Root, Nielsen equivalent      378
Root, Nielsen number      380
Root, number, minimum      381 428
Root, number, Nielsen      380
Root, number, Reidemeiseter      385
Root, Reidemeister classes      385
Root, Reidemeister number      385
Root, theory, example on a solvmanifold      114
Rotation, set      206
Rotation, vector      176 206
S-group      141
Schauder approximation theorem      66
Schirmer number      435
Schirmer number, mod H      435
Schirmer — Nielsen number      291
Segment      911
Segment, isolating      911
Segment, periodic      912
Selectedpair      79
Self reducing element      546
Self-map      629
Semi-flow      906
Semi-flow, local      906
Semi-index      546 655
Semi-index, Nielsen number      546
Semi-index, product theorem      547
Semi-inner products      836
Semi-process, local      910
Semi-process, local, T-periodic      910
Semi-process, model      935
Semi-trajectory, positive      907
Semicontinuous map      787
Semidirect product      93
Sequence, growing exponentially      456
Set of homotopy minimal periods      132
Set of minimal periods      130
Set of periodic points      129
Set of Reidemeister classes      593 702 707
Set, $\omega$-fundamental      726
Set, acyclic      688 789
Set, cell-like      853
Set, coincidence      439
Set, contractible      688
Set, entry      907
Set, epi-Lipschitz      821
Set, essential exit      911
Set, exit      907
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