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},
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, 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
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