Rushing T.B. — Topological Embeddings :: Электронная библиотека попечительского совета мехмата МГУ

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Rushing T.B. — Topological Embeddings

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Название: Topological Embeddings

Автор: Rushing T.B.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1973

Количество страниц: 316

Добавлена в каталог: 01.11.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

$\beta$ -Statement      91 221 270
$\epsilon$ -Push      111
$\epsilon$ -Push, piecewise linear      111
$\epsilon(x)$ -Neighborhood      120
$\epsilon(x)$ -Push      120
$\epsilon(x)$ -Tame      120
$\eta$ -Statement      262
$\gamma$ -Statement      240 241 270
$\omega$ -Statement      263
$\tau$ -Statement      264
1-Short shrink (1-SS)      85
Abelian local fundamental group      221
Admissible polyhedron pair      261
Alexander horned sphere      47 69
Alexander — Newman theorem      48
Alexander, J.W.      30 47 48 69 72 271 296
Alexandroff, P.S.      4 238 296
Alford, W.R.      58 73 84 86 87 296
Allowable embedding      42 241
Ambient isotopy      see “Isotopy”
Ambient Space      9
Andrews, J.J.      74 296
Annulus conjecture      50
Antoin's necklace      71
Antoine, M.L.      71 72 296
Approximating embeddings (PL)      249—259
Approximating theorem (PL)      251
ARC      99
Arens, R.      273 296
Armentrout, S.      84 296
Artin, E.      61 68 301
Ball, B.J.      58 296
Barden, D.      208 290 297
Barycenter      see “Simplex”
Barycentric coordinates      5
Barycentric subdivision      see “Simplicial complex”
Berkowitz, H.W.      250 256 263 297
Bicollar      34 41 see
Bicollar theorem      41
Bing's hooked rug      see “Hooked rug”
Bing's house with two rooms      see “House with two rooms”
Bing, R.H.      13 16 17 18 69 71 73 74 84 111 118 132 149 184 185 193 214 219 297
Blankenship, W.A.      70 72 84 182 297
Brown, M.      35 47 84 88 108 193 297 298
Bryant, J.L.      84 119 132 134 250 259 260 270 295 298
Burgess, C.E.      74 298
Cannon, J.W.      74 298
Canonical Schoenflies theorem      277
Cantrell, J.C      3 84 85 91 99 100 101 102 133 137 214 221 222 260 269 270 293 298 299
Cellularity criterion      178—183
Cernavskii, A.V.      91 100 105 137 214 221 241 247 250 251 259 271 272 278 283 288 294 295 299
Cobordism      206
Cobordism theorems, H      208
Cobordism theorems, s      208
Cobordism, composed      207
Cobordism, H      206
Cobordism, invertible      207
Cobordism, product      207
Codimension      56
Coelbo, R.P.      72 299
Cohen, M.M.      18 21 48 256 299
Collapse, elementary      16
Collapse, elementary simplicial      15
Collapsible      17
Collapsible, simplicially      15
Collar      33—44
Collar, piecewise linear      156
Collar, pinched      41
Collaring theorems      35 40 41 42 242 247
Combinatorial manifold      10
Combinatorial manifold, boundary of      14
Compact-open topology      272
COMPLEX      see “Simplicial complex”
Concordance      177
Concordance theorem      177
Cone      11
Connell, E.H.      185 193 200 208 299
Connelly, R.      42 185 260 295 299
Convex hull      5
Convex set      5
Crowell, R.H.      4 52 299 300
Crushing lemma      246
Curtis, M.L.      74 84 178 296 300
Cylindrical triangulation      188
Dancis, J.      119 132 250 297 300
Daverman, R.J.      91 184 294 300
Debrunner, H.      91 97 300
Decomposition theorems      44 75 84 see
Degenerate map      28
Dense subset of Hom, (X,A;M)      121
Derived neighborhood      20
Derived neighborhood, relative      23
Derived subdivision      6
Derived subdivision, (relative)      256
Direct homomorphism system      60
Direct limit group      60
Directed set      60
Dogbone space      74
Doyle, P.H.      58 91 97 105 137 300
Duvall, P.F., Jr.      184 300
Dyer, E.      271 302
Edwards, C.H.      4 9 84 99 100 133 137 298 300
Edwards, D.R.      185 193 272 278 283 288 290 298
Eilenberg, S.      3 161 183 184 300
Embedded space      9
Embedding      1
Embedding theorems, Irwin's      170
Embedding theorems, Penrose — Whitehead — Zeeman      171 251
Embedding, 1-ALG      221
Embedding, allowable      241
Embedding, equivalent embeddings      2
Embedding, locally flat      33
Embedding, locally homotopically unknotted      221
Embedding, locally nice      182 183
Embedding, locally tame      84 120
Embedding, proper      177
Embedding, wild      51
Engulfing      148—219
Engulfing theorems      106 150 166 169 170 186 187 192 193 200 209 215 219 223 241 see
Equivalent embeddings      see “Embedding”
Euclidean half-space      2
Everywhere wild submanifold      85
Expansion Lemma      225
Factorization theorems      75 83 84
Fisher, G.M.      271 300
Flat cell pair      91
Flat embedding      51
Flat pair      137
Flattening theorems      74 270
Flattening theorems, for arcs      99
Flattening theorems, for cells      105 106
Flattening theorems, for codimension one spheres      100 101
Flattening theorems, for codimension one submanifolds      136
Flattening theorems, for half-strings      108 109
Flattening theorems, for sphere pairs      158
Flattening theorems, for strings      110 164
Flores, G.      27 300
Floyd, E.E.      271 300
Fort, M.K., Jr.      71 271 300 30J
Fox, R.H.      52 58 61 68 70 72 91 95 97 271 297 300 301
Free group      53
Full subcomplex      19 244
Fundamental neighborhood sequence      57
Gauld, D.      277 301
General position      26—30
General position theorem      28
General position, ratio changing      115
Gillman, D.S.      87 89 301
Glaser, L.C      4 7 9 16 18 20 26 30 48 58 68 84 158 185 193 300 301
Gluck, H.      118 120 131 193 298 301

Goodrick, R.E.      18 301
Greathouse, C.A.      119 301
Greenberg, M.      161 301
Gugenheim's unknotting theorem      111
Gugenheim, V.K.A.M., Ill      154 301
h-cobordism      206
h-cobordism theorem      208
Half-string      84 108 109
Hamstrom, M.E.      271 302
Handle straightening lemma      278
Handlebodies      31—33
Handlebody decomposition theorem      31
Handlebody lemma      264
Harley, P.W.      68 84 302
Harrold, O.G., Jr.      58 95 183 221 301 302
Hauptvermutung      293
Hauptvermutung, for open cells      154—157
Hauptvermutung, for PL manifolds      14
Hauptvermutung, for polyhedra      13
Hempel, J.P.      182 184 302
Henderson, D.W.      26 302
Hilton, P.J.      180 302
Hirsch, M.W.      166 290 302
Hocking, J.G.      3 4 16 30 47 58 105 300 302
Homma's approximation technique      253
Homma's trivial range theorem      127
Homma, T.      118 250 251 256 302
Homogeneous space      4
Homotopy (short)      219
Homotopy Extension Theorem      180
Hooked rug      72
Horn      223—224
House with two rooms      15
Hsiang      294 302
Hu, S.-T.      86 139 140 154 162 302
Hudson's concordance theorem      177
Hudson, J.F.P.      4 6 9 20 21 26 154 171 177 302 303
Huebsch, W.      277 303
Hurewicz, W.      26 235 303
Husch, L.S.      21 303
Hutchinson, T.      100 137 303
Hyperplane      4
i-Locally connected space      253
Immersion      276
Immersion lemma      276
Index of handle      32
Inessential subspace      166
Infinite engulfing      214—219 223 241
Infinite piping      218
Infinite polyhedron      9
Invariance of domain theorem      3
Irwin's embedding theorem      170
Irwin, M.C      171 303
Isomorphism      8
Isotopy      2 273
Isotopy, $\epsilon(x)$ -isotopy      120
Isotopy, ambient      20
Isotopy, invertible      4
Isotopy, isotopically equivalent embeddings      2
Isotopy, piecewise linear      20
Isotopy, proper      177
Isotopy, pseudo-isotopy      76
Join, of complexes      10
Join, of polyhedra      11
Join, of simplexes      10
Jordan curve theorem      47
Jordan — Brouwer separation theorem      47
k-connected manifold      166
Kirby, R.C      50 91 100 136 137 193 200 223 260 272 278 282 283 288 294 295 300 303
Kister, J.M., Ill      118 132 199 271 277 297 303
Klee trick      74—75
Klee, V.L.      74 303
Kneser, H.      271 303
Knot      51
Knot, group of      51
Knotted embedding      51
Kwun, K.W.      84 303
Lacher, R.C      91 102 105 137 138 183 214 221 240 270 298 303 304
Layer homeomorphism      273
Lees, J.A.      200 208 304
Lickorish, W.B.R.      261 304
Linear map, of complexes      8
Linear map, of infinite complexes      9
Linear map, of simplex      5
Link      10
Linked spheres      30 262
Local homotopy groups      56—58
Locally 1-connected (1-LC)      85 183
Locally bicollared      34
Locally collapsible subcomplex      255
Locally collared      34
Locally contractible space      253 274
Locally Euclidean space      3
Locally finite simplicial complex      9
Locally flat embedding      33
Locally homotopically unknotted embedding      221
Locally nice embedding      182 183
Locally nice subpolyhedron      183
Locally p-connected complement      221
Locally tame embedding      84 120
Majorant      272
Majorant topology      272
Manifold, boundary of      3
Manifold, closed      3
Manifold, combinatorial      10
Manifold, interior of      3
Manifold, open      3
Manifold, piecewise linear      9—14
Manifold, topological      2—4
Manifold, unbounded      3
Martin, J.M.      18 304
Mazur, B.      47 84 100 208 304
McMillan, D.R.      Jr.
mesh      6
Michael, E.A.      35 304
Mildly wild arc      95
Mildly wild n-frame      95
Miller, R.T.      251 260 294 295 304
Milnor, J.      14 208 304
Moise, E.E.      13 14 154 193 304 305
Monotone union of open n-cells      109
Monotone union of PL n-cells      155
Monotonically r-connected      200
Morse, M.      47 100 277 303 305
n-ball      10
n-cell      2 105 44—50 178
n-Cell, closed      2
n-Cell, open      3
n-Cell,with respect to PL-cells      178
n-Cube (standard)      2
n-frame      95
n-sphere      2
n-Sphere, piecewise linear      10
Natural parameterization      245
Natural parameterization lemma      244
Newman, M.H.A.      48 154 200 208 305
p-connected pair      150
p-connected pair, monotonically      200
Partial order relation      60
Penrose — Whitehead — Zeeman embedding theorem      171 251
Penrose, R.      171 305
Piecewise linear manifold      9—14
Piecewise linear manifold, boundary of      10
Piecewise linear manifold, interior of      10
Piecewise linear map, of complex      8
Piecewise linear map, of infinite complex      9
Piecewise linear map, of infinite polyhedron      9
Piecewise linear map, of polyhedron      8
Piercing segment      71
Pinched collar      41

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