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Kuratowski K. — Topology. Volume II

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Название: Topology. Volume II

Автор: Kuratowski K.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1968

Количество страниц: 622

Добавлена в каталог: 21.03.2013

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Предметный указатель

Hurewicz, W.      51 72 97 114 115 117 119 120 123 124 281 352 354 357 361 374 477 483
i. a.c. (integrally arcwise connected      252
i.a.c      252
i.a.c. space      252
i.c. space      346
Ideal      33
Ideal, maximal      33
Imbedding theorem of Menger and N $\ddot{o}$ beling      116 117
Increment of a logarithm      581
Indecomposable continuum      204
Indecomposable space      204
INDEX      581
Index of a point      585
Infinite rank of a group      391
Integrally arcwise connected (i.a.c.) space      252
Integrally connected space in dimension       346
Invariant of an oriented topology      594
Invariant property      30
Invariant, intrinsic, of a set      580
Invariant, topological      473
Inverse system      84
Irreducible cuts      557
Irreducible separator      154
Irreducible set of a family      54
Isbell, J. R.      viii 38 226
Isomorphism      386
Ivanovski $\ddot{\imath}$ , L.      38
Jackson, J. R.      87 90
Janiszewski space      505
Janiszewski, S. (Z.)      54 133 172 181 190 192 198 204 207 218 506 507
Jarn $\acute{\imath}$ k, Y.      534
Jaworowski, J. W.      478—480
Jefimov, B.      36 40 41
Jesenin — Volpin, A.      40
Jones, F. B.      130 225
Jordan, C.      127 510
K $\ddot{o}$ pcke      153
Kakutani, S.      478
Kar ${\l}$ owicz, M.      29
Kashdan, J.      97
Kat $\breve{e}$ tov, M.      17 352
Kelley, J. L.      4 14 76 77 224 256
Kellog, O. D.      344
Kernel of homomorpism      386
Kernel, dimensional (of a space)      112
Kernel, ordinal      281
Kieldy $\check{s}$ , L.      116
Kincaid, W. M.      262
Kirkor, A.      539
Klee, Y. L.      77 535
Kline, J. R.      181 221 243 539
Knaster continuum      224
Knaster, B.      25 130 132 134 135 149 152 153 161 175 192 202 204—206 210 225 230 277 284 479 560
Koch, R. J.      187
Kodaira, K.      356
Kodama, Y.      352
Kolmogorov, A.      115
Kosifiski, A.      497
Krasnosielskii, M. A.      478 479
kronecker      586
Kronecker characteristic      586
Kuzminov, V. J.      38
l.c. space      346
l.s.c      57
Layer of cohesion      201
Layer of continuity      201
Layer of space      199
Lebesgue coefficient of a system      24
Lebesgue, H.      1 475
Lefschetz, S.      306 339 346 363 377 589
Lehner, G. R.      226
Leja, F.      473
Lelek, A.      54 150 183 226
Length of a set      37
Lennes, N. J.      127 161 179
Lindenstrauss, J.      74
Linearly independent set      391
Livesay, G-. R.      477 479
Local dendrite      303
Locally arcwise connected (l.a.c.) space      252
Locally compact space      41
Locally connected (l.c.) space      230
Locally connected space in dimension       346
Lokutzievski, O.      250
Lower semi-continuity (l.s.c.)      57
Luba $\acute{n}$ ski, M.      560
Lubben, R. G.      522
Lustornik, L.      370
M $\ddot{o}$ bius strip      69
MacLane, S.      306
Mapping of class $\alpha < \omega$       74
Mapping of class $\alpha^{-}$       75
Mapping of class $\alpha_{-}$       75
Mapping of order $\leq{k}$       97
Mapping with small point inverses      30
Mapping, -measurable      74
Mapping, $\mathbf{L}$ -measurable      75
Mapping, monotone continuous      131
Mapping, upper semi-continuous at a point      57
Marczewski E. (Szpilrajn)      38 71
Marde $\mathcalheck{s}$ i $\acute{c}$ , S.      36
Martin, J.      135
Maximal compactification      20
Maximal ideal      33
Mayer, W.      416
Mazur, S.      38
Mazurkiewicz — Sierpi $\acute{n}$ ski theorem      103
Mazurkiewicz, S.      54 103 142 152 168 175—177 186 187 189 192 206 212 213 225 227 244 250 254 256 258 282 289 306 339 359 466 534
McAllister, B. L.      307
McAuley, L. F.      498
McMillan, Jr., D. R.      539
Measure      446
Measure, characteristic      450
Measure, extension of      457
Measure, normed      454
Meisters, G-. H.      498
Menger, K.      104 105 113 116 118 152 172 254 274 277 281 284 290 300 302 477
Michael, E.      22 45—47 74 77 138 139 150 352
Michael, J. H.      498
Miller, E. W.      135
Milnor, J.      535
Mioduszewski, J.      226
Mishchenko, A.      22
Moise, E. E.      vii 202 206 224 225 307
Molski, R.      339
Monostratic space      199
Monotone continuous mapping      131
Moore, R. L.      160 175 177 179 180 182 230 245 247 254 257 312 522 527 533 539
Morita, K.      122 480
Mostowski, A.      32 452
Mr $\acute{o}$ wka, S.      96
Multiplication of equivalence classes      481
Multiplication, cohomotopic      479
Multiplicity $\mu\Gamma$ of a component $\Gamma$       498 501
Multiplicity of with respect to $\Gamma$       501
Multiplicity of a component relative       498
Multiplicity, $\mu\Gamma$       498 501
Multiplicity, $\mu_{R_{i}}f$       498
Multiplicity, $\mu_{Z}\Gamma$       501
Nagami, K.      97
Nagata, J.      viii 96
Nalli, Pia      227
Natural topology      75 76
Negative homeomorphism      591
Negative path of a curve      584
Neighbourhood retract of a space      338
Network      528
Neutral element of a group      385
Newman, M. H. A.      252
Niemytzki, V.      21

Nikodym      0 176
Nikolajshvili, W.      454 503
Nobeling, G.      116 117 290 291
Norman, R.      viii
Normed measures      454
Nov $\acute{a}$ k, J.      16
Nowhere dense continuum      247
Nowhere disconnected space      151
Olech, C.      498
One-point compactification theorem of Alexandrov      43
Operation $\stackrel{\frown}{A}$       389
Operation, restriction      379
Order of a fixed point      589
Order of a space at a point      276
Order type $\alpha^{*}$ of a space      197
Ordinal kernel      281
Ore, O.      306
Oscillation of a function      252
Oscillation of a space at a point      252
Otto, E.      164 282
Papi $\acute{c}$ , P.      36
Parhomenko, A.      44
Pasynkov, B. A.      18 116 226
Path of a curve      584
Peano continuum      252
Peano, G.      257
Pelczynski, A.      40 41 46
Pervin, W.      viii
Peterson, F. P.      480
Phragm $\grave{e}$ n, E.      441
Pli $\acute{s}$ , A.      560
Poincare, H.      417
Point inverse of a mapping      30
Point of irreducibility of a space      190
Points, end      274
Points, rational      274
Points, regular      274
Points, separating      160
Pointwise topology      96
Polygonal arc      461
Polygonal curve      305—306
Pompeiu, D.      153 189
Ponomarev, Y.      36 46
Pontrjagin, L.      3 374
Positive homeomorphism      590
Positive path of a curve      584
Problem of Knaster      479
Proizvolov, V.      22
Projection      64 387
Property () and (Jo)      505
Property (*) of h.l.c. continuum      270
Property (M) of compact spaces      168
Property, -, of subsets of a metric space      83
Property, Darboux      128
Property, extensible      324
Property, fixed point      343
Property, reducible      324
Property, separation (for a family of open sets)      7
Pseudo-arc      224
Quasi-component of a point      148
Quasi-homeomorphic spaces      30
Quotient topology      64
Quotient topology $\mathfrak{C}(\mathcal{X})$       150
Quotient-family      148
Rad $\acute{o}$ , T.      307
Rational component      497
Rational points      274
Rauchvarger, I.      129
Reducible property      324
Region      127 320
Region, elementary      523
Regular convergence, in the sense of Curtis      359
Regular convergence, of Whyburn      359
Regular homeomorphism      530
Regular Lindelof space      77
Regular points      274
Reichelderfer, P.      307
Relation, $a \sim b$ mod       386
Relation, $firrnon \sim 1$       421
Relation, $\tau (\tau_{v})$       332
Relation, equivalence      146 481
Relative diameter of a set      252
Relative distance      250
Reschovsky, H.      290
Restriction operation      379
Retract ANR      333 339
Retract ANR at a point      345
Retract AR      332 339
Retract of a space      338
Retracting deformation      368
Retraction      338
Riesz condition      2
Riesz, F.      2 5 18 539
Ring      32
Ring, boolean      33
Roberts, J. H.      92 103 115 136 288
Rosenthal, A.      513
Rouch $\acute{e}$       576
Roy, P.      135
Rudin, M. E.      77 135
Runge, C. D.      497 567
Ryll — Nardzewski, C.      74
S ${\l}$ owikowski, W.      32
Saaty, T. L.      viii 306
Saks, S.      571
Samelson, H.      370
Saturated set      54
Scattered spaces      104
Schauder, J.      344
Scherrer, W.      303
Schnirelmann, L.      370
Schonflies, A.      204 475 515 518
Schubert, H.      viii
Schuster, S.      306
Scliori, R. M.      224
Selector of a mapping      74
Semadeni, Z.      25
Semi-continuum      188
Separated sets      127
Separating point      160
Separation property (for a family of open sets)      7
Separator      154
Separator between two sets      154
Separator of a space      154
Separator, complete irreducible      154
Separator, irreducible      154
Sequential compactness      3
Set       236
Set of generators mod       394
Set of irrational points      281
Set of irregular points      281
Set of normed measures      454
Set of order       444
Set separating locally a space      154
Set, completely arcwise connected      307
Set, connected      127
Set, elementary closed      524
Set, elementary open      524
Set, irreducible      54
Set, linearly independent      391
Set, saturated      54
Sets, separated      127
Sets, strictly monotone family of      156
Shtanko, M.      250
Sierpinski, W.      3 103 130 152 173 175 179 190 256 260 275 276
Sikorski, R.      9 32
Simple closed curve      179
Sitnikov, K. A.      107 467 497
Sklyarenko, E.      19 442
Snake-like continuum      224

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