DIAGRAM COHOMOLOGY AND ISOVARIANT HOMOTOPY 75
isotropy depth, 38
isotropy family (of subgroups, sense of torn Dieck), SEE: open isotropy family
isovariant, citation for first use of term in the literature, 1
isovariant homotopy extension property, normally straightened, 32
, weak, 34 (c/. Prop. 4.9 and the preceding discussion)
isovariant Whitehead Theorems ( = Thm. 4.10 and Cors. 4.11-12), 34-37
knot invariant, 70
list of isotropy subgroups (sense of S. J. Willson), 5 ALSO SEE: open isotropy
family
local normal degree, 36
M^Sing(M), SEE: X^Sing(X)
Na(s) (:= e-constriction of 7Va), 14
nested fixed set quasistratification, 14
NH(X) (:= tubular neighborhood for singular
subset inclusion Sing(X^) C XH), 19
NH(X,e) (:= ^-constriction of the preceding object), 19
normal degree, local, 36
normally straightened (mapping), 31
N(Smg(M)) (:= tubular neighborhood of Sing(M) q.v.), 38
open isotropy family (of subgroups, sense of torn Dieck), 5
Or bo (:= usual orbit category of a group), 5, 9
Orb(D) (:= orbit category of a small category), 9
orbit category, usual, 9
orbit subcategory (for a small category), 9
, free, 10
GK*(Y)
(:= coefficient system of homotopy groups
n*(YH)
for
YH
e FY (q.v.) ), 5
Q C
M
, 48
QC&, 48
Q(e) (:= e-constriction of the prestratification Q), 14
Q F
X
, 20-21
Q P (:= quasistratified resolution of P), 20
quasistratification, 12
, G-invariant, 13
, nested fixed set, 14
, regular invariant, 15
quasistratified resolution, 20
Qx (:= some quasistratification of X), 19
Qx(e) (:= e-constriction of the preceding object), SEE: Qx AND Q(e)
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