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