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