Monk J.D., Bonnet R. — Handbook Of Boolean Algebras Vol.2 :: Электронная библиотека попечительского совета мехмата МГУ

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Monk J.D., Bonnet R. — Handbook Of Boolean Algebras Vol.2

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Название: Handbook Of Boolean Algebras Vol.2

Авторы: Monk J.D., Bonnet R.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1989

Количество страниц: 440

Добавлена в каталог: 15.06.2009

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

Предметный указатель

$P(\omega)/fin$       344 348ff 682 694 706 710
$\Delta$ -system      616 622
$\diamond$       392 403 634 639 665 671
$\kappa$ -closed subset of a BA      315 322
$\kappa$ -closed subset of a partial order      321
$\kappa$ -dense chain      641
$\kappa$ -distributive      319 339
$\kappa$ -universal BAs      679
$\kappa$ -universal homogeneous BAs      685
$\lambda$ -like BA      414
$\mathscr{P}(\kappa)/[\kappa]^{<\kappa}$       371
$\mu$ -homogeneous pair      592
$\mu$ -weakly homogeneous pair      592
$\omega$ -power      452
$\omega$ -tree      643
$\pi$ (A)      424ff
$\pi$ -base for a space      424
$\pi$ -character      417 425 438
$\pi$ -weight      417 424 438
$\psi(\overline{x},\overline{y})$ -unembeddable      483
$\sigma$ -additive function      591
$\sigma$ -closed group      592
$\sigma$ -distributive BAs      667
$\sigma$ -finite measure      591
( $\kappa$ , $<\nu$ , $\lambda$ )-distributive      329
( $\kappa$ , $\infty$ )-distributive law      624
( $\kappa$ , $\lambda$ )-distributive law      319
( $\kappa$ , $\lambda$ )-regular family      383
( $\kappa$ , $\lambda$ , $\mu$ )-distributive      329
A-bad      408
Absorption lemma for isomorphism types      688
AD family of sets      350ff 356
Addition theorem for weight      430 451
Additivity of a family of sets      351
Algebraic lattice      391
Almost disjoint family of mappings      373
Almost disjoint refinement      357
Almost disjoint sets      350 356 407 455 539 654
Almost rigid BA      510
Alternating cycle      410
Alternating sequence      410
Altitude      459
Anderson system      695ff
Anderson's theorem      694
Anderson, R.D.      694 699 714
Arhangel'skii, A.      429 433 441 448 466
Arithmetical properties of BAs      315
Atomless measure      591
Atomless measure algebra      330
Automorphism extension property      712
Automorphism groups      387 517ff 547 549ff
B-closed      576
Baire number      351
Baire property      335
Balcar, B.      315 333 349 368 379f 385f 462 466 527 546 610 620 623 629 635 678 681 715
Banach space      655
Base tree theorem      350
Baumgartner, J.      323 331 374 384 385 404 415 440 466 655 657 676
Bekkali, M.      387 389 637 678
Belhassan, M.      654 676
Below T      361
Bernstein set      335
Bernstein — Kuratowski — Sierpinski theorem      335
Bernstein's lemma      674
BG-pair      552
Bhaskara Rao, K.      392f 402f 407 416
Bhaskara Rao, M.      392f 402f 407 416
Birkhoff, G.      391 393 414 416 639 676
Blaszczyk, A.      676
Bonnet, R.      387 389 416 473 489 610 637 639 646 648 654 676
Bonnet-rigid      503 508 647 676
Boolean game      315 324 344
Boolean space      419
Boolean valued models      315 320
Borel field      551
Branch of a tree      643
Branched tree      666
Brenner, G.      527 545 643 674 676 684 694 714
Bukovsky, L.      322
CA      426ff
Candidate over a BA      504
Canonical decomposition in an interval algebra      400 641
Cantor property      349 361 372
Caratheodory extension theorem      597
Cardinal function      387 417ff
Cardinal sequence of a BA      473f
Carpintero, Organero P.      473 489
CCC      610 617 686 see
Cech, E.      443 466 639 674 676
Cellular family      426
Cellularity of a topological space      426
Center of a BA      607 624 684
Centered family of sets      344 434
ch      347 356 388 413 463 497 499 512 541 669 694 706
Character in a chain      642
Character of $F \subseteq X$       423
Character of a space      423
Character of an ultrafilter      345
Chase, S.      531 545
Cichon, J.      676
Closed character of a space      423
Closed hereditary $\phi$       422
Closed unbounded set      323
Co-retractive BA      403
Co-stationary      323
Cofinal      640
Cofinal type      642
Cofinality of a BA      417 458
Cofinality of a chain      360
Cohen Extension      513
Cohen real      349 356 368 371 512f 683
Coinitial interval      640
Coinitial type      642
Collapsing algebra      380 683
Comfort, W.W.      380 385 453 466
Commutator of f and g      694
Compact element of a lattice      391
Comparable elements of a BA      640
Compatible with      534f
Compatible with T      361
Complement in a lattice      391f
Complementary ideals      499
Complementation in the lattice of subalgebras      387ff 400
Complemented lattice      400
Complete BA      319ff 547
Complete ideal      572
Complete lattice      391
Complete rigid BA      674
Complete subalgebra      665
Complete weakly homogeneous BAs      388
Completely Ramsey      352
Completely separable almost disjoint family      336 359
Completion of a partial order      320
Complicated BAs      469 504
Component of      559
Concatenation      443
Congruence relation on a lattice      393 414
Congruences on the lattice of subalgebras      389
Conjugate of f by g      694
Constructive universe      322
Continuum Hypothesis      347 see
Countable BAs      547
Countable chain condition      331 407 see
Countable separation property      452
Countably generated ideal      404
Covering number of a family of sets      351
Cudnovskij, D.      384f
Cudnovskij, G.      384f
D(A)      422ff
de Groot, J.      639 677

Decomposability      333 382f
Decomposable      335 337
DeMeyer, F.      531 545
Dense (for a subset of a BA)      404 425
Dense set in a space      425
Descending chain      346
Determined by an endomorphism schema      500
Diamond sequence      671
Diestel, J.      605
Discrete subset of a BA      432
Disjoint chains      361
Disjoint elements in a partial order      640
Disjoint ideals      528
Disjoint refinement property      315 333ff 337
Disjoint system      335
Disjoint union of structures      482
Distributive laws      v 315ff
Dockalkova, J.      385 368
Dominating family of functions      347
Dordal      356 385
Dow, A.      341f 376 385
Dual atom      398
Dual hd(B)      434
Dual subalgebra      398
Dual-Bonnet-rigid BA      647
Dual-hopfian BA      508
Dually atomic lattice      398
DuBois-Reymond property      341 372
Duentsch, I.      389 392f 408 409 412ff 416
Efimov, B.      476 477 489
Ellentuck space      352
Ellentuck topology      336
Ellentuck, E.      352 385
Embedding      607ff
Embedding-rigid BA      486 646
End-extension      323
Endo-rigid BA      387 472 491f 498ff 674
Endomorphism schema      499
Endomorphisms of BAs      387 491ff
Engelking, R.      374
Erdoes — Tarski theorem      340
Erdoes, P.      340 360 374 385
Excellent subset      589
Extended kernel of an endomorphism      499
Extender      533
extends      687
F-space      452
Faithful class of BAs      550
Faithful class of pairs      549
Faithfulness      547
Final interval      640
Final segment      640
Fine structure of the constructible universe      322
Finite extensions of a BA      533ff
Finite intersection property      344
Finite-cofinite BA      450
Finitely additive measure      598
First-order interpretation      552
Flexible      555
Fodor's Theorem      655
Forcing      320ff
Foreman, M.      327 331
Franek, F.      379 380 385
Free $\kappa$ -sequence      433
Free BA      343 417 464 476ff 611 682 699
Free products of BAs      343 349 356
Freeness of a BA      433
Freeness of a space      433
Freniche, F.      471 489
Frink, O.      391 416
Fubini's theorem      595
Fuchino, S.      694 703 715
Full ( $\chi$ , $\lambda$ )-bigness property      483
Full subalgebra of $P\kappa$       478
G-invariant measure      592
Gaifman, H.      685 715
Galois BA      536
Galois over A      532
Galois theory of extensions of BAs      517
Galois theory of finite extensions      533ff
Galois theory of simple extensions      528ff
Galvin, F.      352 385
Game-closed BA      326ff
Game-closed partial order      326
GCH      349 497 541 545
Geba, K.      654 677
Generic Extension      324
Gerlits, J.      446 466
Gilman, L.      674 677
Good equivalence relation      670
Good subgroup      706
Graetzer, G.      391 396 414 416 715
Grigorieff, S.      687 715
Grossberg, R.      677
Group-categorical      550
Haar measure      551 593
Hager, A.      453 466
Hajnal's free set theorem      456
Hajnal, A.      370 419 430 456 466
Hales, A.      685 715
Halmos, P.R.      536 546 597 605
Harrington, L.      323 331
Harrison, D.      531 545
Hausdorff, F.      374 465 466
Hechler, S.      359 368 371 374 385
Height (of an element in a tree)      643
Height of $P(\omega)/fin$       349
Height of a tree      643
Heindorf, L.      333
Hereditarily $\phi$       422
Hereditary cofinality      432
Hereditary cofinality of $\mathscr{B}$       437
Hereditary density      434
Hereditary Lindeloef degree      423 434
Hereditary saturatedness      337
Hewitt, E.      605
Hidden boundary      578
Hindman, N.      385
Hodel, R.      419 466
Hodkinson, I.      677
Homogeneous BA      387 388 519 549 609 679 681ff
Homogeneous universal BA      341
Homomorphism type of a BA      460
Hopfian BAs      387 491f 508
Ideal depth      435
Ideal generating number      435
Ideal height      435
Immediate successor      640
Incomparability number      433
Incomparable elements      640
Ind A      419 432ff
Indecomposable BAs      472 576
Independence      417 419 432ff
Independent matrix      374
Independent over A      538
Independent sets      479
Independent subset of a BA      432
Induced by      534
Ingraham, e.      531 545
Initial interval      640
Initialized term      482
Interpretation      550
Interval algebra      471ff 519 545
Interval BAs      471ff
Interval space      642
Interval topology      641
Invariant measure      595
Invariant subalgebra      523
Irreducible surjection      421
Isomorphism type      687

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