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Wall C.T.C. — Surgery on compact manifolds
Wall C.T.C. — Surgery on compact manifolds

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Название: Surgery on compact manifolds

Автор: Wall C.T.C.

Аннотация:

It is gratifying to learn that there is still sufficient interest in this book for it to be worth producing a new edition. Although there is a case for substantially rewriting some sections, to attempt this would have delayed production indefinitely. I am thus particularly pleased that Andrew Ranicki has supplemented the original text by notes which give hints to the reader, indicate relevant subsequent developments, and say where the reader can find accounts of such newer results. He is uniquely qualified to do this, and I am very happy with the result. The first edition appeared before the days of TfjjX, so the entire manuscript had to be re-keyed. I am grateful to Iain Rendall for doing this efficiently and extremely accurately.


Язык: en

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

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: second edition

Год издания: 1999

Количество страниц: 302

Добавлена в каталог: 18.04.2005

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Предметный указатель
Algebraic terms, $"bar", {\bar x}, {\bar{\sum n(g)g}}$      21
Algebraic terms, $\lambda, \mu$      44
Algebraic terms, $\sigma (2 \time 2 matrix)$      62
Algebraic terms, $\Sigma$      (matrix) 63
Algebraic terms, ${Q}_{k}$      45
Algebraic terms, ${SU}_{r}, {TU}_{r}, {UU}_{r}, {SL}_{r}$      59
Algebraic terms, categories ${\mathscr G}pd, {\mathscr A}b$      35
Algebraic terms, conventions on right and left modules, matrix notation      2
Algebraic terms, formation      69
Algebraic terms, quadratic form      272
Algebraic terms, RU      63
Algebraic terms, simple hermitian form      47
Algebraic terms, standard plane, hyperbolic form, lagrangian      48
Algebraic terms, SU, S'U, TU      63
Algebraic terms, the category ${2}^{n}$      3
Algebraic topology, $\Lambda = Z[{\pi}_{1}(X)]$      21
Algebraic topology, $\Lambda' = Z[\pi']$      158
Algebraic topology, $\omega:\pi\to\{\pm1\}$      21
Algebraic topology, $\tilde X$      = universal covering of X (in §12C double
Algebraic topology, ${C}_{*}(X)$      21
Algebraic topology, ${H}_{n}^{t}$      21
Algebraic topology, ${K}_{k}, {K}^{k}$      etc. 25 158
Algebraic topology, ${\Omega}_{m}(X,\nu)$      10
Algebraic topology, degree 1      25
Algebraic topology, [X]      22
Group actions, ${Z}_{2}^{+}, {Z}_{2}^{-}$      161 172
Group actions, ${\Omega}_{n}(G)$      200 280
Group actions, join (of actions of spheres)      195
Group actions, poly-$\mathscr A$ group      237
Group actions, standard lens space ${L}_{0}^{2n-1}{N}$      213
Group actions, suspension $\Sigma$      (of actions of spheres) 195—198
Group actions, tame actions      200
Group cohomology, group rings, ${(Wh\pi)}^{\alpha}$      149
Group cohomology, group rings, ${I}_{G}$      215
Group cohomology, group rings, ${R}^{\time}$ = group of units of R      215 268
Group cohomology, group rings, ${R}_{G}, {QR}_{G}$      213
Group cohomology, group rings, ${\hat G}$ = Pontrjagin dual of G      222
Group cohomology, group rings, ${\hat H}(G)$      (Tate G-cohomology) 215
Group cohomology, group rings, ${\hat H}^{n}({Z}_{2})$      (Tate ${Z}_{2}$-cohomology) 152 259
L-groups, $p, q, r, {p}_{0}, {q}_{0}, {r}_{0}$      133 146
L-groups, ${LN}_{n}$      147
L-groups, ${LP}_{n}$      264
L-groups, ${LS}_{n}^{1}, {LS}_{n}^{2}, {LS}_{n}$      132
L-groups, ${L}^{A}, {L}^{B}, {L}^{C}, {L}^{D}, {L}^{E}, {L}^{F}$      259
L-groups, ${L}^{s}, {L}^{h}, {L}^{p}$      260
L-groups, ${L}_{1}^{n}(K), {L}_{2}^{n}(K)$      93
L-groups, ${L}_{m}$      34
L-groups, algebraic definition of ${L}_{2k+1}$      68
L-groups, algebraic definition of ${L}_{2k}$      49
L-groups, algebraic definition of relative ${L}_{2k+1}$      78
L-groups, algebraic definition of relative ${L}_{2k}$      272
L-groups, algebraic definition of, 1-sided ${LN}_{n}$      161
L-groups, relative forms of ${L}^{1}, {L}^{2}$      97
L-groups, the spaces ${L}_{m}(K), {L}_{m}(\Lanmda)$      250
L-groups, transfer      178 252
Poincare complexes and n-ads, $\Phi$-object      92
Poincare complexes and n-ads, ${\partial}_{i}, {\delta}_{i}, {s}_{i}, {\sigma}_{i}$      3
Poincare complexes and n-ads, amalgamation      4
Poincare complexes and n-ads, manifold n-ad      6
Poincare complexes and n-ads, n-ads      3
Poincare complexes and n-ads, object      91
Poincare complexes and n-ads, object of type n      96
Poincare complexes and n-ads, Poincare complex, Poincare pair      22—23
Poincare complexes and n-ads, Poincare embedding      119 262
Poincare complexes and n-ads, Poincare n-ad      24
Poincare complexes and n-ads, restricted object      132
Surgery exact sequence, classifying spaces, $B{\tilde PL}_{k}$      121
Surgery exact sequence, classifying spaces, $B{\tilde TOP}_{k}$      255
Surgery exact sequence, classifying spaces, $\mathscr{T}{X}$      109
Surgery exact sequence, classifying spaces, ${G}_{k}, {PL}_{k}, {O}_{k}, {BG}_{k}, G, BG$      etc. 109
Surgery exact sequence, classifying spaces, ${\mathscr{S}}(X), {\mathscr{S}}^{\rm Diff}, {\mathscr{S}}^{PL}$      etc. 106
Surgery exact sequence, classifying spaces, ${\pi}^{b}$      210 252
Surgery exact sequence, classifying spaces, G/PL, G/TOP      109
Surgery exact sequence, classifying spaces, normal invariant $\eta$      110
Surgery exact sequence, classifying spaces, Spivak fibration ${\nu}_{x}$      108
Surgery exact sequence, classifying spaces, splitting obstruction ${s}_{M}(f)$      119
Surgery exact sequence, classifying spaces, structure invariant s(f)      117
Surgery exact sequence, classifying spaces, surgery obstruction map $\theta$      34 110 187
Surgery obstruction map $\theta$      34 110 187
Surgery obstruction, $\rho$      187
Surgery obstruction, $\rho$ for circle actions      196
Surgery obstruction, $\sigma$, signature      172
Surgery obstruction, ${r}_{2r}$      208
Surgery obstruction, ${s}_{2r}$      202
Surgery obstruction, ${t}_{2r}$      218
Surgery obstruction, c, Kervaire — Arf invariant      172 189
Surgery obstruction, characteristic classes ${k}_{4i+2}(G/PL)$      189 266
Surgery obstruction, discriminant      178
Surgery obstruction, Hirzebruch — Sullivan classes $l(M), l(G/PL), \lambda(G/PL)$      188
Surgery obstruction, multisignature      174—176 185
Surgery obstruction, Reidemeister torsion      213
Surgery obstruction, splitting invariants      202 S22
Surgery, handle      8
Surgery, handle subtraction      13
Surgery, normal map, normal cobordism      10
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