74
GIORA DULA AND REINHARD SCHULTZ
componentwise vector bundle, 23
compressibility property, 16
D(a), D((3), ... (:= unit disk subbundle of a vector bundle), 23, 31
D(d) (:= normal disk bundle for Fd (q.v.)), 38
D-diagrams, 9
Default Hypothesis (:= 1.0), 4
^CD(I)
0= local normal degree of / ) , 36
depth, isotropy, 38
detailed quasistratification data, 13
diagram categories, 9
diagram cohomology, 9-10
distinguished closed subsets (of a quasistratification), 13
D(W) (:= unit disk in an inner product space W), 56
^-constriction (of a quasistratification), 13-14
£(QF
X
) , 41
E'(QFX), 41
family (of subgroups, sense of torn Dieck), SEE: open isotropy family
Fary spectral sequence, 8
^d»
(:—
points with maximal isotropy subgroups when
isotropy depth (q.v.) = d, 38
finite ambiguity, 55
formal supplement (i.e., Xa^X^a), 13
free orbit subcategory (for a small category), 10
^REL ( : = a specific space of functions; here REL is a subscript), 59
F REL I (:= a relativized diagram associated to F; here REL is an operator), 50
F
x
(:=
{XH\
H is some subgroup of G}), 20
Fy,
SEE: F X
Gap Hypothesis, 2, 46
, codimension 3, 69
G?7r*(y) (:= coefficient system of homotopy groups
7r±(YH)
for YH e Fy (q.v.) ), 5
BRHQ (Bredon cohomology), 4 homotopy linear, SEE: strongly V-homotopy
linear
ideal, right, in a category, 50
IFG(V) (:= IFG(X,Y) as below with X = Y = S(V) (q.v.) ), 56
IFgEL(V)
(:= all / G IFG(V) such that
/|Sing(S(lO) (Q-v. = id), 70
IFG(X,Y) (:= space of G-isovariant continuous functions), 34, 49
IFQS
(:= space of normally straightened (q.v.) G-isovariant
continuous functions), 52
IFG(X REL/ X0,Y) (:= {h e IFG(X,Y)\ h restricted to X0 equals /}), 51-52
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