Index
accessible point, 29
acyclic, 30
allowable partition, 28
B, 35
B∞,
35
boundary scrambling
for dendrites, 50
for planar continua, 51
branched covering map, 68
branchpoint of f, 75
bumping
arc, 25
simple closed curve, 25
C(a, b), 38
Carath´ eodory Loop, 27
chain of crosscuts, 28
equivalent, 28
channel, 29
dense, 29, 57
completing a bumping arc, 25
C, 1
C∞,
1
conformal
external ray, 53
continuum
decomposable, 49
indecomposable, 49
convE (K), 35
convH(B K), 35
convex hull
Euclidean, 35
hyperbolic, 35
counterclockwise order
on an arc in a simple closed curve, 13
critical point, 74
crosscut, 25
shadow, 26
cutpoint, 51
CX , 53, 85
D, 38
defines variation near X, 50
degree, 13
degf (a), 75
degree(g), 13
degree(fp), 16
boundary operator, 2
D∞,
27
dendrite, 6
domain
attracting, 52
Fatou, 52
parabolic, 52
Siegel, 52
embedding
orientation preserving, 19
essential crossing, 29
Et, 29
exit continuum, 51
for a general puzzle-piece, 53
external ray, 29
end of, 29
essential crossing, 29
landing point, 29
non smooth, 53
smooth, 53
fixed point
for positively oriented maps, 63
non-rotational, 53
(f, X, η), 50
G, 38
g, 38
g, 35
Γ, 38
gap, 37, 68
general puzzle-piece, 53
geodesic
hyperbolic, 38
geometric outchannel
negative, 50
positive, 50
hull
hyperbolic, 37
95
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