Index

Notations Z, Q, R, C, H denote (as usual) the rings of integers, rational, real

or complex numbers, and of quaternions. R n is real number space, with its

usual Euclidean structure.

Dn = { x e R n : ||x|| 1 } ,

S™-1 = {xeRn: \\x\\ = 1},

LP"

1

=

{xeS™-1

:xn^0}.

We use standard notation for manifolds. rM denotes the tangent bundle of M;

v is usually a normal bundle. If v is a bundle over X, Xu denotes its Thom

space. Our notation for Lie groups (e.g. O, Spin) and their classifying spaces

(e.g. BO) is also standard.

Poincare complexes and n-ads

n-ads 3

di,6i,Si,Gi 3

amalgamation 4

manifold n-ad 6

Poincare complex, Poincare pair 22-23

Poincare n-ad 24

Poincare embedding 119,262

object 91

restricted object 132

object of type n 96

^-object 92

Surgery

surgery, handle 8

handle subtraction 13

normal map, normal cobordism 10

Algebraic topology

[X] 22

C*(X) 21

w:7r-+{±l} 21

#»* 21

Kk,Kk etc. 25,158

A = Z[TTI(X)] 21

300