Index 467
cell-like embedding, 383
continuous, 383
Relative
Covering Isotopy Theorem, 216
Hurewicz Isomorphism Theorem, 17
Monotone Union Theorem, 285
Product Neighborhood Theorem, 215
relative homotopy group, 10
relatively 2-connected at infinity, 426
removing a 2-handle, 329
resolvable, 434
retract
absolute, 12
neighborhood, 12
retraction
contractible, 213
Rochlin invariant, 444
s-Cobordism Theorem, 426
saturated set, 55
Sch¨ onflies
Conjecture, 26
Theorem
Generalized, 62, 64
PL, 19
topological, 19
Seifert
matrix, 305
surface, 302
Seifert-van Kampen Theorem, 3, 21
semi-capped surface, 236, 388
semifree action, 415
sewing crumpled cubes, 411
shadow, 100, 217
shrinkability criterion, 56
shrinkable
decomposition, 56
fixing C, 58
strongly, 58
Sierpi´ nski
carpet, 131
curve, 374
simple closed curve, 19
simple-homotopy equivalence, 185
simplicial
complement, 98
complex, xiv
mapping cylinder, 124, 185
triangulation, 443
simply connected at infinity, 106
sin(1/x)-continuum, 59
singular collar, 405
singular set
of a map, 100
skeleton
dual, 98
of a cube, 131
of a triangulation, 98
slice knot, 278
slice-trivial, 385
sliced map, 217
Slicing Lemma, 217
solid torus, 42
solvable, 152
locally, 158, 161
sphere, xiv
spinning, 36, 281
Stability of Embedding Theorem, 217
stable
fundamental group at an end, 429
homeomorphism, 439, 441
inverse sequence, 428
manifold, 441
stably
free, 430
isomorphic, 430
Stallings engulfing, 99, 108, 194, 289
modified, 104, 108, 289
standard
n-cube, 130
Menger continuum, 132
mistake, 125, 130
ˇ
Stan ko
complex, 236, 388
move, 235, 388
strongly
homogeneously embedded, 421
shrinkable, 58
sunny collapsing, 211
supporting isotopy, 115
surjection, 53
suspension, 35
symmetrically situated, 182
tame
-tame, 157
as a subspace, xv
Cantor set, 42
compactum, 227
embedding, xv
end of a manifold, 429
end of a map, 432
locally, 33
Taming Problem, xv
Taming Theorems, 158, 160, 161, 261, 263,
265, 347, 402
template, 235, 388
Thin h-Cobordism Theorem, 434
topological
embedding, xiv
manifold, xiv, 162
topologically rigid, 442
torsion, 426
submodule, 301
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