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Lueck W. — Basic introduction to surgery theory
Lueck W. — Basic introduction to surgery theory

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Название: Basic introduction to surgery theory

Автор: Lueck W.

Язык: en

Рубрика: Математика/Геометрия и топология/Алгебраическая и дифференциальная топология/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2002

Количество страниц: 190

Добавлена в каталог: 16.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
(weakly) excisive      153
(weakly) homotopy invariant      153
Acyclic, U-acyclic      38
Alexander trick      2
Arf invariant      95
Assembly map      149
Associated contravariant Or(G)-space of a left G-space      145
Attaching maps      9
Based exact sequence      28
Basis, equivalent basis      10
Basis, stable basis      107
Basis, stably U-equivalent      107
Basis, U-equivalent      107
Bernoulli numbers      133
Bordism      See cobordism
Boundary of a non-degenerate $\epsilon$-quadratic form      100
Brieskorn variety      141
Cell, closed      9
Cell, open      9
Cellular basis      10
Cellular map      31
Cellular pushout      32
centralizer      165
Chain complex, contractible      28
Chain complex, finite      28
Chain complex, finite based free      28
Chain complex, free      28
Chain complex, projective      28
Chain contraction      28
Characteristic map      9
Classifying map of a principal G-bundle      40
Classifying space for G      40
Classifying space with respect to a family of subgroups      148
Cobordism      1
Cobordism, diffeomorphic relative $M_0$      1
Cobordism, h-cobordism      2
Cobordism, over $M_0$      1
Cobordism, trivial      2
Cocompact      25
Collaps map      57
Conjecture, Baum — Connes Conjecture      150
Conjecture, Borel Conjecture      151
Conjecture, Farrell — Jones Isomorphism Conjecture      150
Conjecture, Isomorphism Conjecture      149
Conjecture, Kadison Conjecture      152
Conjecture, Novikov Conjecture      151
Conjecture, Poincare Conjecture      2
Conjecture, Stable Gromov — Lawson — Rosenberg Conjecture      152
Degree      40
Disk bundle      57
Dual chain complex      33
Dual R-module      32
Eilenberg — MacLane space      120
Elementary collaps      34
Elementary expansion      34
Embedding, trivial      7
Euler characteristic      53
Exotic sphere      2
Family of finite subgroups      148
Family of subgroups      148
Family of virtually cyclic subgroups      148
Fibration, orientable      61
Fibration, strong fiber homotopy equivalent      61
Form, $\epsilon$-quadratic      89
Form, $\epsilon$-symmetric      87
Form, non-degenerate $\epsilon$-quadratic      89
Form, non-degenerate $\epsilon$-symmetric form      87
Form, stably isomorphic $\epsilon$-quadratic formations      99
Form, standard hyperbolic $\epsilon$-quadratic form      90
Form, standard hyperbolic $\epsilon$-symmetric form      87
Form, trivial $\epsilon$-quadratic formation      99
Form, U-based $\epsilon$-quadratic forms      108
Formation, $\epsilon$-quadratic formation      99
Framing, almost stable      127
Framing, stable      127
Free unitary representation      39
Fundamental class      51
G-CW-complex      146
G-CW-complex, proper      147
Group, virtually cyclic      148
Groups of homotopy spheres      124
Handle      4
Handle, boundary of the core      4
Handle, cocore      4
Handle, core      4
Handle, dual      18
Handle, transverse sphere      4
Handlebody decomposition      4
Handlebody decomposition, dual      17
Homology, (proper) equivariant homology theory      162
Homology, Borel homology      147
Homology, G-homology theory      146
Homology, proper G-homology theory      162
Homology, with coefficients in a spectrum over the orbit category      147
Homotopy n-sphere      123
Hopf construction      132
Induction structure      162
Intersection pairing      54
Intersection pairing for immersions      81
Intersection pairing for kernels      86
Involution of rings      50
Involution, w-twisted involution of a group ring      50
J-homomorphism      132
Join      40
Join, fiberwise join of spherical fibrations      60
k-connected map      70
L-group, decorated quadratic i-groups in even dimensions      109
L-group, decorated quadratic i-groups in odd dimensions      109
L-group, quadratic L-groups in even dimensions      93
L-group, quadratic L-groups in odd dimensions      102
L-group, simple quadratic L-groups      110
Lagrangian      93
Lagrangian, complementary      100
Lagrangian, subLagrangian      93
Lemma, Cancellation Lemma      6
Lemma, Diffeomorphism Lemma      5
Lemma, Elimination Lemma      7
Lemma, Franz' Independence Lemma      46
Lemma, Homology Lemma      14
Lemma, Isotopy Lemma      5
Lemma, Modification Lemma      15
Lemma, Normal Form Lemma      16
Lens space      39
Mackey functor      164
Mapping cone of a chain map      28
Mapping cone of a map of spaces      36
Mapping cylinder of a chain map      28
Mapping cylinder of a map of spaces      36
Module over a Green functor      166
Module, stably finitely generated free      88
Module, stably U-based      107
Module, U-based      107
Normal bordism      106
Normal bundle      57
Normal invariant, normal k-invariant      64
Normal invariant, set of normal invariants      65
Normal invariant, set of normal k-invariants      65
Normal map      67
Normal map of degree one      67
Normal map of manifolds with boundary      105
Normal map with respect to the tangent bundle      68
Normal map, with respect to the tangent bundle      68
normalizer      165
Orbit category      144
Orientation homomorphism of a Poincare complex      51
Orientation homomorphism of a spherical fibration      61
Orientation of an orientable spherical (k-1)-fibration      61
Poincare $\mathbb Z\pi$-chain homotopy equivalence      51
Poincare complex finite n-dimensional      51
Poincare complex simple finite n-dimensional      51
Poincare pair finite n-dimensional      54
Poincare pair simple finite n-dimensional      54
Ring with involution      32
Selfintersection element      83
Set of normal maps to a compact manifold      117
Set of normal maps to a Poincare complex      67
Signature, higher      151
Signature, of a finite oriented 4k-dimensional Poincare complex      54
Signature, of a symmetric bilinear non-degenerate pairing      54
SIMPLE      113
Simple homotopy equivalence      34
Smash product      57
Space over a category      144
Spectrum      59 144
Spectrum, $\Omega$-spectrum      144
Spectrum, covariant $\Omega$-spectrum      144
Spectrum, homotopy groups of      see stable homotopy groups of a spectrum
Spectrum, map of spectra      144
Spectrum, over a category      144
Spectrum, weak homotopy equivalence      144
Sphere bundle      57
Spherical fibration      60
Spivak normal fibration      62
Stable homotopy groups      131
Stable homotopy groups of a spectrum      60 144
Stable n-th stem      132
Stably parallelizable      125
Structure set      114
Surgery obstruction for manifolds with boundary      106
Surgery obstruction for manifolds with boundary and simple homotopy equivalences      110
Surgery obstruction in even dimensions      96
Surgery obstruction in odd dimensions      104
Surgery problem      77
Surgery program      3
Surgery sequence      118
Surgery sequence, for the Pi-category and topological category      120
Surgery step      77
Suspension      28
Suspension of a pointed space      57
Suspension of a spherical fibration      60
Tensor product of a $\mathcal C$-spectrum with a $\mathcal C$-space      145
Tensor product of spaces over a category      145
The Surgery Step      75
Theorem, Classification of Homotopy Spheres      123
Theorem, Diffeomorphism Classification of Lens Spaces      45
Theorem, Differentiable Sphere Theorem      142
Theorem, Existence and Uniqueness of the Spivak Normal Fibration      62
Theorem, h-Cobordism Theorem      2
Theorem, Homotopy Classification of Lens Spaces      41
Theorem, Homotopy Theoretic Interpretation of the Kervaire — Milnor Braid      138
Theorem, Immersions and Bundle Monomorphisms      74
Theorem, Kervaire — Milnor Braid      138
Theorem, Normal Maps and G/0      69
Theorem, Pontrjagin — Thom Construction      58
Theorem, Pontrjagin — Thom Construction and Oriented Bordism      59
Theorem, s-Cobordism Theorem      1
Theorem, Simple Surgery Obstruction Theorem for Manifolds with Boundary      111
Theorem, Sphere Theorem      142
Theorem, Surgery Exact Sequence      118
Theorem, Surgery Exact Sequence for PL and TOP      119
Theorem, Surgery Obstruction Theorem for Manifolds with Boundary      106
Theorem, Surgery Obstruction Theorem in Even Dimensions      95
Theorem, Surgery Obstruction Theorem in Odd Dimensions      102
Thom class      61
Thom Isomorphism      61
Thom space of a spherical fibration      60
Thom space of a vector bundle      57
Triad, manifold triad      105
Triad, Poincare triad      105
U-torsion of a contractible finite U-stably based chain complex      108
U-torsion of a stable isomorphism of stably U-based modules      107
Unit disk      39
Unit sphere      39
Universal principal G-bundle      40
Whitehead group      25
Whitehead group of a space      31
Whitehead torsion      31
Whitehead torsion of a chain homotopy equivalence      28
Whitney's Approximation Theorem      74
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