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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

-property      83
$LC^{n}$ space      346
-dimensional degree of a space      105
-th cohomotopy group      480
$\check{C}$ ech — Stone compactification      19
$\check{S}$ ura — Bura, M.      169 172
$\lambda$ -problem of Urysohn      152
$\mathbf{L}$ -measurable mapping      75
$\mathcalheck{C}$ ech, E.      viii 9 17 19 289 415 439 554
$\mathcalheck{S}$ anin, N.      38 40
$\theta$ -curve      328
$\varepsilon$ -chain      224
Abelian group      385
Absolute neighbourhood retract (ANR)      333 339
Absolute neighbourhood retract (ANR) at a point      345
Absolute retract (AR)      332 339
Accessible point      175
Acyclic elements      324
Aitchison, B.      289
Akasaki, T.      358
Albert, G. E.      307
Alexander lemma      4
Alexander, J. W.      17 346 495 535 550
Alexandrov, P. S.      1 3 30 36 43 65 68 110 115 123 165 206 218 306 348 354 357 371 373 392 415 424 466 472 543 558 559 585 588 590 594
Altman, M.      479
Anderson, R. D.      111 116 202 225
ANR      333
Antoine, L.      535 539
ar      332
ARC      179
Arc, polygonal      461
Archangielskii, A.      65 83 88
Arens, R.      76 80 96
Aronszajn, N.      250 254 340
Artin, E.      535
Ayres, W. L.      296 303 307 320 328 374
Bacon, Ph      478
Baire, R.      9 71
Balanchandran, Y. K.      22
Banach, S.      50
Bank of a group      391
Barret, L. K.      224
Base of $2^{\mathcal{X}}$       45
Base of a family      443
Basis mod       394
Basis of a group      392
Beer, G.      291
Begle, E. G.      340 359
Behnke, H.      570
Bennetli, R.      226
Berge, C.      viii 57 306
Betliel, E. L.      206
Betti      409
Bicompactness      1
Biconnected space      135
Bing, R. H.      vii 177 180 224 225 240 306 539 553
Birkhoff, G.      32
Birkhoff, G. D.      209 344
Blankinship, W. A.      535
Boltianskii, V.      125
Bolzano      3
Bolzano — Weierstrass condition      3
Boolean ring      33
Borel condition      1
Borel — Lebesgue condition      1
Borel, E.      1
Borsuk — Ulam theorem      477
Borsuk, K.      viii 32 119 186 234 307 339—342 344 345 352 358 359 365 368 370 371 373 375 377 378 439 441 466 470 473 474 478 480 484 489 492 495 497 556
Bothe, H. G.      345
Boundary      73
Bourbaki, N.      17 129
Bourgin, D. G.      477—479
Branching point      302
Brandt, H.      481
Brouwer, L. E. J.      54 111 182 204 208 441 443 506
Brown, R.      86 88
Bruschlinsky, N.      409 550
Burgess, C. E.      224 225
Burgess, D. C. J.      viii
Busacker, R. G.      viii 306
c.o. (compact open) topology      75 76
c.r. $\mathcal{J}$ -space      434
Cantor condition      2 3
Cantor discontinuum      148
Cantor discontinuum, generalized      148
Cantor manifold      165
Cantor, G.      2 167
Cartan, H.      570
Cartwright, D.      viii
Chain      224
Characteristic measure of a quasicomponent of a space      450
Characteristic, Euler — Poincar $\acute{e}$       417
Chevalley, C.      17
Claytor, C.      307
Closed domain      195
Cohen, H. J.      225
Cohomotopic multiplication      479
Commutative group      385
Compact topological space      1
Compactification, $\mathcalheck{C}$ ech — Stone      19
Compactification, maximal      20
Complementary oscillatory set      200
Complete irreducible separator      154
Completely arcwise connected set      307
Component of a space      139
Composant of a point      208
Condensation continuum      247
Condition, Bolzano — Weierstrass      3
Condition, Borel      1
Condition, Borel — Lebesgue      1
Condition, Cantor      2 3
Condition, D ${}_{n}$       99
Condition, Heine — Borel      1
Condition, Riesz      2
Connected set      127
Connected space      127
Constituant of a point      188
Continuous decomposition of a space      67
Continuum      167
Continuum, at most -coherent      328
Continuum, condensation      247
Continuum, convergence      245
Continuum, elementary      488 523
Continuum, hereditarily indecomposable      206
Continuum, hereditarily locally connected (h.l.c.)      268
Continuum, indecomposable      204
Continuum, Knaster      224
Continuum, nowhere dense      247
Continuum, Peano      252
Continuum, snake-like      224
Contractibility of a space      37
Convergence continuum      245
Converse of the Jordan theorem      518
Cook, H.      208
Corson, H. H.      22
Countably compact topological space      1
Cover generating a family      443 602
Cover, essentially infinite      4
Cronin, J.      498
Cs $\acute{a}$ sz $\acute{a}$ r, A.      79
Curtis, M. L.      359
Curve      275
Curve, $\theta$       328
Curve, polygonal      305—306
Curve, Sierpi $\acute{n}$ ski triangular      276
Curve, Sierpi $\acute{n}$ ski universal      275
Curve, simple closed      179
Cut of a space      188
Cyclic element of a space      312
Darboux property      128

Day, J. M.      74
de Groot, J.      12 150 442
de Mira Fernandes, A.      478
De Vries, H.      19 150
Decomposition of a space      64
Decomposition of a space, continuous      67
Decomposition of a space, upper (lower) semi-continuous      64
Deformation      368
Deformation retract      368
Degree of a space, -dimensional      105
Dendrite      300
Dendrite, local      303
Denjoy, A.      204 539
Diameter      55
Dimension of connectedness of a space      164
Dimensional kernel of a space      112
Dirac, G. A.      306
Direct sum of groups      395
Discolierent space      162
Disk      510
Dispersed point of a space      135
Dispersed space      151
Domain, closed      195
Dowker, C. H.      342 352
Duda, R.      135 442
Dugundji, J.      viii 96 352
Dyadic space      36
Dyer, E.      206
Dyson, P. J.      478
Eilenberg, S.      18 31 111 124 183 236 328 357 358 371 374 401 406 412 415 420 426 431 433 436 439 442 469 471 475 481 492 495 496 544 545 554 557—560 580
Element of a group, neutral      385
Element of finite order      385
Elementary closed set      524
Elementary continuum      488 523
Elementary open set      524
Elementary region      523
end points      274
End points of an arc      179
Engelking, R.      viii 19 36 38 40 41 59 74 77 79 442 446
Equivalence relation      146 481
Erd $\ddot{o}$ s, P.      134 135
Essentially infinite cover      4
Euler — Poincar $\acute{e}$ characteristic      417
Euler, L.      417
Evaluation      19
Exponential topology      45
Extensible property      324
Extension of a function      333
Extension of a measure      457
Extension of a network      528
Extremally disconnected space      154
Factor group $\mathcal{X}/G$       387
Fadell, E.      77
Family, $LC^{n}(\mathcal{Y})$       358
Family, $Q(\mathcal{X})$ of all quasi-components      150
Family, $\mathbf{A}(\mathbf{C})$       443
Family, $\mathbf{L}_{\sigma}$       74
Family, $\mathbf{Q}_{\mathcal{Y}}$       445
Family, $\mathcal{C}(\mathcal{X})$       84
Family, $\mathfrak{M}(\k{X})$       446
Family, $\Phi(\mathcal{X}, \mathcal{Y})$       88
Family, (z, o) ${}^{\mathcal{X}}$       443
Family, of all closed-open subsets of $\mathcal{X}$       443
Family, of maximal ideals      34
Family, of projective class $\mathbf{CA}$       51
Fearnley, L.      226
Field $\mathbf{L}$       74
Filter      4
Fixed point property      343
Flores, A.      117
Floyd, E. E.      478
Fort, Jr., M. K.      31 32 71 443
Fox, R. H.      76 86 535
Frankl, F.      293
Freudenthal, H.      18 374 442 480 550
Frink, Jr., O.      17 45
Fugate, J. B.      224
Function irreducibly non $\sim$ 1      421
Function of Ces $\grave{a}$ ro      131
G $\k{e}$ ba, K.      480
Gaal, S. A.      viii
Ganea, T.      32
Gawehm, J.      527
Gehman, H. M.      177 183 284
Generalized Baire theorem      9
Generalized Cantor discontinuum      148
Generalized product      369
Generalized Rouch $\acute{e}$ theorem      576
Generalized theorem of decomposition      134
Gleason, A. M.      38
Go ${\l}$ $\k{a}$ b, S.      473
Golf and, I.      32
Granas, A.      479 480 492
Grauert, H.      570
Group, -th cohomotopy      480
Group, $\Gamma(A)$       407
Group, $\mathcal{J}$       392
Group, $\mathcal{J}^{2}$       392
Group, $\mathcal{J}^{\aleph_{0}}$       392
Group, $\mathcal{J}^{\mathcal{X}}$       399
Group, $\mathcal{J}^{\omega}$       392
Group, $\mathcal{P}^{\mathcal{X}}$       407
Group, $\mathcal{T}^{\mathcal{X}}$       406
Group, $\mathcal{X}/G$       387
Group, $\mathcal{Y}^{\mathcal{X}}$       393
Group, $\mathfrak{B}_{0}(\mathcal{X})$       399
Group, $\mathfrak{B}_{1}(\mathcal{X})$       409
Group, $\mathfrak{E}(\mathcal{J}^{X}_{n})$       479 485
Group, $\mathfrak{E}(\mathcal{P}^{X}_{n})$       488
Group, $\mathfrak{E}(\Omega)$       481
Group, commutative (abelian)      385
Group, factor      387
Group, homotopy      361
Group, topological      386
Groupoid      481
h.l.c      268
Hahn, H.      200 227 230 256
Halin, R.      306
Hall, D. W.      306 307
Hallett      218
Halmos, P. R.      38
Hamilton, O. H.      224
Hamstrom, M. E.      202
Hanner      0 345 352
Harary, F.      viii 306
Harrold, Jr., O. G.      289
Hausdorff distance      47
Hausdorff, F.      49 130 139 148 161 233 522
Heilbronn, H.      570
Heine — Borel condition      1
Heine, E.      24
Henderson, G. W.      225 226
Hereditarily disconnected space      151
Hereditarily discontinuous space      189
Hereditarily indecomposable continuum      206
Hereditarily locally connected (h.l.c.) continuum      268
Hildebrandt, T. H.      1
Hilgers, A.      152
Hill, L. S.      72
Hilton, P. J.      361 492
Hocking, J.      183
Homeomorpliism, negative      591
Homeomorpliism, positive      590
Homeomorpliism, regular      530
Homomorphism      386
Homomorphism, kernel of      386
Homotopic functions      360
Homotopy group      361
Hopf, H.      1 43 348 374 392 415 478 543 558 585 588 590 594
Hu, She — Tsen,      viii 338 339 352 361

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