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Anderson D.R., Munkholm H.J. — Boundedly Controlled Topology: Foundations of Algebraic Topology and Simple Homotopy Theory
Anderson D.R., Munkholm H.J. — Boundedly Controlled Topology: Foundations of Algebraic Topology and Simple Homotopy Theory



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Название: Boundedly Controlled Topology: Foundations of Algebraic Topology and Simple Homotopy Theory

Авторы: Anderson D.R., Munkholm H.J.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1988

Количество страниц: 309

Добавлена в каталог: 26.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$C^{F,\mathtt{cell}}_{*}(\tilde{Y},\overline{X})$      184
$C^{F,\mathtt{cell}}_{*}(\underline{X},\underline{Y})$      59
$DR^{C}(X,p)$      104
$K_{1}(R\mathscr{P}G)$      145
$R\mathscr{B}$ module      22
$U(A_{i},\ell_{i})$      288
$Wh(R\mathscr{P}G)$      147
$Wh^{C}(X,p)$      104
$\ell c$      288
$\mathscr{B}ao(\mathscr{B})$      125
$\mathscr{B}ao_{*}(\mathscr{B})$      125
$\mathscr{CW}$      48
$\mathscr{CW}^{c}/Z$      43
$\mathscr{CW}^{c}_{f}/Z$      43
$\mathscr{CW}_{f}$      48
$\mathscr{C}_{Z}(\mathscr{F}R)$      263
$\mathscr{C}_{\mathtt{K},_{\infty}(A)$      275
$\mathscr{FCW}_{f}/\mathscr{B}$      48
$\mathscr{FPT}op/\mathscr{B}$      55
$\mathscr{FT}op/\mathscr{B}$      47
$\mathscr{F}R$      263
$\mathscr{G}p$      22
$\mathscr{G}poid$      4
$\mathscr{PCW}^{c}/Z$      43
$\mathscr{PC}$      48
$\mathscr{PL}^{c}/Z$      212
$\mathscr{PT}op^{c}/Z$      43
$\mathscr{P}$      42
$\mathscr{S}(\ )$      269
$\mathscr{S}et_{*}$      22
$\mathscr{T}op^{c}/Z$      42
$\mathscr{T}op_{*}$      48
Algebraic Subdivision Theorem      181
Amalgamation functor      150
Amalgamation homomorphism      150
Attaching a bc n-cell      100
Attaching an r-handle      218
Attaching homeomorphism      218
Attaching map      100
Basing      177
Basis      125
Bass — Heller — Swan inclusion      286
bc adjunction space      107
bc collar      215
bc h-cobordism      212
bc map      42
BFG      139
Bounded collection of sets      42
Bounded life      287
Bounded map      44
Boundedly controlled CW complex      42
Boundedly controlled disk      219
Boundedly controlled handle      217
Boundedly controlled homeomorphism      46
Boundedly controlled homology      89
Boundedly controlled homotopy      90
Boundedly controlled map      42
Boundedly controlled pair      43
Boundedly Controlled s-Cobordism theorem      213
Boundedly controlled space      42
Boundedly finitely generated      139
Boundedly generated      139
Boundedness control functor      42
Boundedness control space      42
Boundedness control structure      41
Boundedness control structure, cubical      45
Boundedness control structure, halo      44
Boundedness control structure, indiscrete      43
Boundedness control structure, metric      44
Boundedness control structure, simplicial      45
Boundedness control structure, star enlargement      46
Bumpy homotopy equivalence      210
Canonical natural equivalence      16
Category of bc pairs      43
Category of bc spaces      42
Category of be CW complexes      43
Category of fragmented $\mathscr{C}$ objects      48
Category of fragmented spaces      47
Category of functors      20
Category of left $R\mathscr{B}$ modules      22
Category with endomorphism      3
Cellular approximation theorem      93
Cellular chain complex      59
Characteristic homeomorphism      218
Characteristic map      100
Coextensive fragmented spaces      70
Coextensive functors      68
Coextensive spaces      91
Coextensive with $\mathscr{B}$      69
Collapses      102
Combinatorial invariance of Whitehead torsion      205
connected fragmented space      69
Duality theorem      213
Elementary automorphism      145
Elementary collapse      102
Elementary expansion      101
Equivalence of categories      34
Essential submodule      290
Eventual equivalence of categories      34
Eventual equivalence of categories, strong      34
Eventual pseudoinverse      34
Eventual pseudoinverse, strong      34
Expands      102
Finite bc CW complex      43
Finite bc n-cell      100
Formal deformation      102
Fragment      47
Fragmentation      48
Fragmentation, equivalent      50
Fragmentation, inverse image      48
Fragmentation, smallest subcomplex      48
Fragmented CW complex      48
Fragmented pair      48
Fragmented space      47
Free $R\mathscr{B}$ module      125
Full over A      290
Functor category      20
Functor, almost endomorphism preserving      13
Functor, endomorphism preserving      27
Functor, eventually equal      16
Functor, eventually faithful      35
Functor, eventually full      34
Functor, eventually onto      34
Fundamental groupoid      49
Geometric basis      239
Geometric Stiefel — Whitney class      256
Geometrically prescribed basis      183
Handle cancellation      231
Handle decomposition      223
Handle rearrangement      230
Homology of a bc pair      89
Homology of a bc space      89
Homology of a fragmented pair      55
Homology of a fragmented space      55
Homotopy of a bc pair      90
Homotopy of a bc space      90
Homotopy of a fragmented pair      63
Homotopy of a fragmented space      60
Hurewicz Theorem transformation      75
Hurewicz Theorem, Absolute      75
Hurewicz Theorem, Relative      81
Hurewicz Theorem, variations on      85
Infinite direct sums      137
Involution      168
Left cokernel      291
Left fringe      290
Locally finitely generated      139
Morphism eventually epimorphic      23
Morphism eventually equal      16
Morphism eventually monomorphic      23
Morphism eventually zero      23
Morphism, eventual      6
Preferred basing      177
Preferred basis      177
Preferred isomorphism      177
Proper metric      43
Pseudo inverse      34
RADIUS      42
Realization Theorem      213
Right fringe      290
Simplified form      112
Simply connected bc space      91
Simply connected fragmented space      69
Singular chain group functor      59
Stiefel — Whitney class      168
Sum Theorem      118—119
Supported over B      290
Tame boundedness control structure      212
TYPE      218
U-small      4
Unbounded life      288
Uniformly locally presented      261
Universal cover      50
Universe      3
Weakly bounded function      156
Weakly coextensive      159
Weakly eventually epimorphic      159
Weakly eventually faithful      156—157
Weakly eventually full      156—157
Weakly eventually monomorphic      159
Whitehead theorem      93
Whitehead torsion of a bc h-cobordism      251
Whitehead torsion of a bc homotopy equivalence      117
Whitehead torsion of a chain complex      178
Whitehead torsion of an isomorphism      179
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