next up previous contents
Next: Bibliography Up: Examples in Continuum Theory Previous: Technical information


Index



@ $ . AB C D E F G H I J K L M N O P Q R S T U V W X Y Z
@


_$_
-chain : 17.16
-connected : 17.22
-equivalent : 17.41
-like : 17.67
-map : 17.67
-od : 17.110
-smooth : 17.32
-smooth at : 17.32

_ . _

_A_
absolute end point : 17.1
absolute retract : 17.2
absolutely terminal continuum : 17.3
acyclic : 17.4
almost chainable : 17.5
aposyndetic : 17.6
aposyndetic at : 17.6
arc : 17.7
arc-smooth : 17.8
arc-smooth@ at a point : 17.8
arc-structure : 17.9
arms : 17.111
atomic : 17.10
atriodic : 17.11

_B_
biconnected : 17.12
bihomogeneous : 17.13
Bing space : 16.3.3
Borel sets : 17.14
Borsul fan : 16.2.6
boxes continuum : 16.1.8
branch point : 17.15
buckethandle : 5.2.1

_C_
Cantor accordion : 6.1.2
Cantor comb : 16.7.1
Cantor fan : 16.5.3
Cantor function comb : 16.7.4
Cantor interaction : 16.1.5
Cantor organ : 6.1.2
Cantor snake : 16.6.4
chainable : 17.16
chaotic : 17.17
strongly : 17.114
circle : 17.18
Claytor's curve A : 16.3.5
Claytor's curve B : 16.3.6
comb W$ : 3.3.4
comb W_R$ : 3.3.4
completely regular : 17.19
composant of : 17.20
confluent : 17.21
connected im kleinen : 17.23
continuous : 17.107
continuous selection of : 17.24
continuum : 17.28
contractible : 17.29
converge 0-regularly : 17.26
converges homeomorphically to the continuum : 17.25
convex : 17.27
crooked Warsaw circle : 16.2.10
cruller : 16.6.5
curve : 17.30
cut point of : 17.31
cyclic element : 17.33

_D_
decomposable : 17.34
deformation retract of : 17.35
dendrite : 17.37
dendrite D_m$ : 3.3.7
dendrite D_S$ : 3.3.8
dendrite G_{\omega}$ : 3.3.19
dendrite L_0$ : 3.3.12
dendrite of de Groot-Wille type : 3.3.15
dendrite P$ : 3.3.9
dendroid : 17.36
dispersion point : 17.38
double buckethandle : 5.2.1
double Warsaw circle : 16.2.8
dragon continuum : 16.4.3
dumbbell : 16.3.8
dyadic solenoid : 6.3.1

_E_
equivalent : 17.40
monotonely : 17.40
explosion point : 17.38

_F_
figure eight : 16.3.9
finitely linear : 17.44
finitely Suslinean : 17.43
fixed point : 17.45
fixed set property : 17.46
free arc : 17.49

_G_
Gehman dendrite : 3.3.18
Gehman dendrite on ski : 16.7.2
graph : 17.50
Graph K_{3,3}$ : 16.2.1
Graph K_5$ : 16.2.2

_H_
half-ray curve : 17.51
harmonic fan : 16.5.1
harmonic shredded fan : 16.5.2
Hausdorff metric : 17.61
hereditarily : 17.53
hereditarily decomposable : 17.54
hereditarily equivalent : 17.55
hereditarily indecomposable : 17.56
hereditarily locally connected : 17.57
hereditarily unicoherent : 17.58
hereditary : 17.52
hlc : 17.57
homeomorphism
near : 17.77
homogeneous : 17.59
with respect to : 17.59
horse-shoe map : 5.2.1
horseshoe : 5.2.1
HU-terminal continuum : 17.60
hyperspace : 17.61

_I_
improper shore point : 17.112
indecomposable : 17.62
induced mapping : 17.63
Ingram's atriodic continuum : 16.2.7
initial@ point : 17.8
irreducible : 17.65
irreducible about : 17.65
is of order less than equal to : 17.82

_J_

_K_
Knaster continuum : 5.2.1

_L_
lakes of Vada : 16.2.5
Lelek fan : 16.5.4
light : 17.66
links : 17.16
local homeomorphism : 17.70
local separating point : 17.71
locally : 17.68
locally confluent : 17.69
locally connected combs : 3.3.4
locally connected fan : 3.3.3
locally convex at a point : 17.27

_M_
M-continuum : 16.1.4
Makuchowski twin : 16.7.3
Makuchowski umbrella : 16.6.2
Menger universal curve : 3.4.3
Miller dendrite S$ : 3.3.14
minimal
openly : 17.80
MO-mapping : 17.72
modified Miller dendrite : 3.3.16
monotone
feebly : 17.42
monotone : 17.73
mutually aposyndetic : 17.74

_N_
natural projection : 17.75
neat : 17.76
non-cut point of : 17.31
noose : 16.3.10

_O_
OM-mapping : 17.78
Omiljanowski dendrite : 3.3.12
open : 17.79
orbit of : 17.81
order : 17.82
order preserving mapping : 17.83
Oversteegen's dendroid : 16.7.5

_P_
\mathbf p$-adic Knaster continuum : 5.2.1
\mathbf p$-adic solenoid : 6.3.1
point
end : 17.39
ordinary : 17.84
periodic : 17.85
ramification : 17.93
recurent : 17.96
weak cut : 17.131
PR-property : 17.86
preserving@ retraction : 17.83
property
periodic-recurrent : 17.86
property of Kelley : 17.90
Pseudo-arc : 16.1.2 | 17.88
pseudo-circle : 16.1.6
pseudo-confluent : 17.89

_Q_
quasi-monotone : 17.91

_R_
radially convex@ at : 17.92
rational : 17.94
real curve : 17.95
refinable : 17.97
regular : 17.98
regular at : 17.98
retract : 17.99
retraction : 17.99
rigid : 17.100
strongly : 17.116

_S_
scattered : 17.102
selectible : 17.101
selection : 17.101
self-homeomorphic : 17.103
fixed
ball : 17.48
point : 17.47
pointwise : 17.87
at a point : 17.87
strongly : 17.115
at a point : 17.115
strongly : 17.117
semi-aposyndetic : 17.104
semi-confluent : 17.105
semi-continuous : 17.107
semi-continuum : 17.106
semi-locally connected : 17.108
semicircle continuum : 16.1.7
shore point : 17.112
Sierpinski carpet : 3.4.2
Sierpinski triangle : 16.6.1
Sierpinski universal plane curve : 3.4.2
simple chain : 17.16
simple closed curve : 17.109
simple triod : 17.111
sin addiction continuum : 16.3.7
sin curve : 6.1.1
smooth : 17.113
smooth at a point : 17.113
snake : 16.6.3
solenoid : 6.3.1
space filling curve : 16.2.3
standard universal dendrite of order m$ : 3.3.7
standard universal dendrite of orders in S$ : 3.3.8
strictly non-mutually aposyndetic : 17.74
strong deformation retract of : 17.35
strongly unicoherent : 17.118
strongly unicoherent2 : 17.119
Suslinean : 17.120

_T_
terminal continuum : 17.122
theta curve : 16.4.1
thin : 17.123
top : 17.111
topologist's sin curve : 6.1.1
totally non-semi-locally connected : 17.108
translation : 17.124
trapezoid basins continuum : 16.4.2
tree : 17.125
tree-like : 17.67
triod : 17.126

_U_
unicoherent : 17.127
at : 17.127
uniformly continuum-chainable : 17.128
uniquely arcwise connected : 17.129
universal : 17.130
for : 17.130
universal arc-like continuum : 16.2.4
universal smooth dendroid : 16.3.4

_V_

_W_
Warsaw circle : 16.2.9
Wazewski universal dendrite : 3.3.6
weakly chainable : 17.132
weakly confluent : 17.133
weakly hereditarily unicoherent : 17.134
weakly monotone : 17.135
weakly smooth at a point : 17.136
weakly Suslinian : 17.137
Whyburn's curve : 16.1.1
widely connected : 17.138

_X_

_Y_
Young space : 16.3.2
Young spiral : 16.3.1

_Z_
zig-zag circle : 16.1.3

next up previous contents
Next: Bibliography Up: Examples in Continuum Theory Previous: Technical information
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30