Index
absolute
neighborhood retract, 12
retract, 12
self-intersector, 182
abstract regular neighborhood, 213, 219
acyclic, 17
Alexander
3-cell, 49
Cantor set, 51, 52
horned sphere, 47, 50
invariant, 274
isotopy, 202
matrix, 305
polynomial, 301
Alexander-Newman Theorem, 27
Alexandroff Theorem, 14
Alford
arc, 89
sphere, 88
algebraic unknotting, 279, 295
α-equivalence, 427
ambient
dimension, xvi
space, xiv
Annulus Theorem, 65, 374
ANR, 12
antipodal
map, 183
points, 183
Antoine
3-cell, 46, 171
Cantor set, 46
necklace, 42, 125, 169, 172, 175
sphere, 46
Approximation Problem, xvi
Approximation Theorems, 162, 227, 243,
263, 325, 347, 366, 370, 382, 384, 398,
403, 438, 440
AR, 12
ball, xiv
β-map, 427
β-statement, 168
bicollar, 62, 356
pinched, 93
binary icosahedral group, 18, 281
Bing
dogbone space, 60
hooked rug, 83
house with two rooms, 189
shrinking criterion, 56
sling, 80, 424
Blankinship Cantor set, 169, 172, 175
Borel Conjecture, 442
Borromean rings, 311
boundary
manifold (∂-manifold), 2
of a ∂-manifold, 2
operator for homotopy groups, 11
∂-manifold, 2
bouquet of circles, 1
branching system, 236, 388
Bryant-Seebeck engulfing, 115, 127
Bubble Lemma, 377, 382
Cantor set, 42
cell, xiv
with holes, 374
cell-like
embedding relation, 383
mapping, 109
463
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