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Monk J.D., Bonnet R. — Handbook Of Boolean Algebras Vol.2 |
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Предметный указатель |
Jech's construction of a simple complete BA 388
Jech, T. 315 317 322f 325 328f 331 392 406 416 513 516 637 664 671 677
Jensen's Principle 671
Jensen, R.B. 322 392 639 686 715
Jerison, M. 674 677
Johnsbraten, H. 686 715
Jonsson's construction of a rigid BA 388
Jonsson, B. 610 635 637 639 643 677
Juhasz, I. 419 430 446 466f
Just, W. 463
Kanamori, A. 384 385
Kannan, V. 677
Karlowicz, M. 374
Katetov, M. 610 635 639 677
Kemmerich, S. 681 694 715
Killing witnesses 447
Kleinberg, E. 323 331
Koh, K. 391 396 416
Komjath's theorem 336
Komjath, P. 368 385 404 415 440 466
Koppelberg, S. 389 392 408f 412ff 416 453 458 463 467 527 533 541 546 609 634f 674 677 681 687 693f 699 706 711 715
Kripke's embedding theorem 609 633 681 685f
Kripke, S. 715
Kunen, K. 346 383f 462 467 677
Kuratowski, K. 386 639 674f 677
Kuznecov, V. 476f 489
Large Cardinals 322
Lattice of subalgebras 387 389
Lavrentiev, M. 675 677
Lebesgue measurable 335
Lebesgue measure 335
Left end point 641
Left-separated -sequence 434f
Level in a tree 643
LIMIT 459
Lindeloef degree of a space 423
Linear orderings 497
Loats, J. 472 490 510ff 639 677
Local at x 452
Locally finite group 536
Locally movable 555
Lower compatible 670
Lozier, F. 639 677
MA 349 356 368 413f 508 511f
MAD family of sets 350 353ff
Magid, A. 531 546
Magill, K. 493 516
Maharam, D. 593 602 605 689 693 715
Makkai, M. 391 396 416
Maps 420
Martin's Axiom 357 413f 540f 686
Martin, D.A. 480 490 540f 546
Matrix in a BA 338
Maurice, M. 677
Maximal branch in a tree 643
Maximal element 640
Maximal subalgebra 398
Maxson, C. 493 516
McAloon's theorem 342
McAloon, K. 609f 634 635 639 664 678
McDowell, R. 639 677
McKenzie, R. 519 521 523 526 539 546 550 586 605 610 624 629 635 639 678
Measurable cardinal 322
Measure 591
Measure algebra 338 547 551
Measure preserving automorphisms 554
Meets the boundary of T 361
Mildly complicated 512
Mills, C. 346 385
Milner, E. 389 640
Minimal element 640
Minimum -character 444
Minimum character 443
mixed 566
Monk, J.D. 387 389 419 432 441 456 467 469 472 479 490f 508 516f 519 521 523 526 539 541 545f 550 586 589 605 609f 619 624 634f 639f 674 677f 681 714
Mono-rigid BA 486 497 502 646 664
Mostowski, A. 392 400 416
Movable 555
Multiplicity of a 554
Nagy, Z. 446 466
Namba, K. 322
Negrepontis, S. 380 385
Neighborhood -base 425
Neighborhood base for a set 420
Netweight 429
Network for a space 429
No rigid or homogeneous factors 628ff
Non-degenerate BA 336
Non-distributivity of 333 336 349 377
Normal -complete ultrafilter 323
Normal closure 694
Nowhere dense subset of a BA 405
Nowhere distributive 336
Number of endomorphisms 387 491f 497
Numbers of BAs 387 469ff
Omitted in A 504
Onto-rigid BA 497 502 646 663
Order-embedding-rigid BA 646 663
Order-mono-rigid BA 646
Orderings 637
Ordinal product of orderings 472
Parallel functions 458
Partial order 321 640 682
Partition 319 320
Partition lattice 391 393
Pelant, J. 385
Permutation-like 559
pie 433
Pie -sequence 436
Piecewise in A 706
Piecewise in G 592
Pierce, R.S. 455 467
Plewik, Sz. 352 386
Pol, R. 447 467
Pondiczery, E. 465 467
Porada, M. 676
Positive measure 591
Pospisil, B. 443 466
Pressing down lemma 445
Prikry, K. 322 352 382ff
Prime ideal 642
Principal closed final interval 640
Principal open final interval 640
Products of homogeneous BAs 526
Products of partial orders 324
Products of rigid BAs 521ff
Proper atom 408
Proper BA 331
Proper extension 687
Properness 331
Pseudo-transposition 561
Pseudoaltitude 460
Quasi-complement 387 389 391f 408
Rajagopalan, M. 677
Ramsey's theorem 701f
Random reals 368
Rassbach, W. 472 490 610 619 639 678
Reconstruction from automorphisms 387 547
Reconstruction from endomorphisms 387 491ff
Reduced set for an extension 533
refinement 589
Refinement by countable subsets 333 336 357
Refinement of a partition 319ff
Regularly open 428
Relative automorphism groups 519
Relatively complete subalgebra 536
Remmel's theorem on quasi-complements 411
| Remmel, J.B. 391f 401 408ff 412 416 678
Representable in M(I) 486
Representative pair of transpositions 556
Represented in a complete BA 481
Residual subset 648
Result of attaching A to B at b 486
retract 402
Retractive BA 392 402
Retractive ideal 402
Retractive mapping 402
Retractiveness 400
Retractiveness in the lattice of subalgebras 389
Richter, M. 681 694 715
Rieger, L. 610 635 639 643 678 685 715
Right end point 641
Right zero 494
Right-separated -sequence 434 435
Rigid BA 387 388 472 486 498 519 549 610 637ff
Rigid complete BA 387 607
Rigid element 525
Rigid in 554
Rigid projective BA 674
Rigid simple extension 530
RO(X) 428f 685f
Roitman, J. 357 386 510 512f 516 541 546 677
Rooted tree 642
Rosenberg, A. 531 545
Rosenberg, I. 410
Ross 605
Rotman, B. 392 401 403f 416
Rubin's theorem on nowhere dense subsets of a BA 405
Rubin, M. 387ff 392 400 403ff 416 472 527 547ff 557 602 605f 639f 655ff 674ff 694f 700 714f
Sachs, D. 391f 398 416
Sat(A) 620ff
Saturated BA 703
Saturatedness 337
SCALE 347 368
Scattered chain 640
Schein, B. 493 516
Scott, W.R. 561 606
Second-order model based on M 553
Selection property 656
Selective ultrafilter 356
Selector of a partition 656
Semadeni, Z. 654 677
Semi-modular lattice 393
Separable extension 531
Separated sets in a space 452
Separative partial order 320
Shapirovskii, B. 430 439 441 444 447ff 467
Shelah, S. 331 356 360 368 385ff 462 471f 482 490 499 503 508 516 550 586 605f 610 635 639 654 674 676 678 694 710 715
Sierpiriski, W. 676 678
Sikorski's Extension Criterion 534
Sikorski's Extension Theorem 414
Sikorski's lemma 342
Silver's Theorem 374
Simon, P. 315 333 349 368 382 385f 462 466
Simple automorphism groups 388 679 681 694
Simple complete algebras 664
Simple lattice 393 414
Size of automorphism groups 387 517 539
Slices 668 670
Small dense subsets 417
Small image 421
Solovay — Tennenbaum algebra 349 356
Solovay's theorem on stationary sets 382
Solovay, R.M. 329 479f 490 540 546 681 685 687 693 715
Somewhere dense subset of a BA 405
Souslin algebra 328ff 668
Souslin tree 329 665 686
SPREAD 427 432
Standard type over a BA 504
Stationary interval property 658
Stationary set 323ff 611 625 639 655
Stepanek, P. 387f 527 541 546 607 620 623 629 635 674 678f 715
Strictly positive measure 591 693
Strong density of a space 440
Strongly closed 581
Strongly decomposable 335 337
Strongly distinct automorphisms 531
Strongly faithful class of BAs 550
Strongly faithful class of pairs 549
Strongly first-order interpretable 553
Strongly rigid algebra 498
Strongly rigid chain 648
Subalgebra of a BA 387 389ff
Subantichain 640
Subchain 640
Subtree 643
Sufficient semigroup 493
Sum of isomorphism types 688
Superatomic BA 464 473ff 519 545
Szemeredi, E. 359 386
Tall ideals 357
Tarski's lemma on cardinals 455f 457
Tarski, A. 340 385 392 400 416 455
Taylor, A. 385
Theorem of Solovay and Koppelberg 687 693
Tightness of X 426
Tightness of X at x 426
Todorcevic's construction of mono-rigid interval algebras 388
Todorcevic, S. 388f 392 400 404 416 472 637 639f 655 657 661 663f 678
Totally different BAs 478 519
Totally different elements of a BA 559
Totally disconnected chain 641
Totally imperfect space 675
Touraille, A. 389
Tower 346
TRANSPOSE 555 579
Transposition 555
TREE 341 637 639
Treeness of a BA 441
Trivial center 633
Type of a term 483
Uhl, J. 605
Ulam Matrix 383
Ult A 534ff
Uniform almost disjoint family 373
Uniform ultrafilter 357 364 382
Upper Banach density 358f
Van Douwen, E.K. 353f 385 387 417 455 458 466f 478 541 546 674 677 681 694 706 710f 714
Van Mill, J. 346 385
Very strongly rigid space 654
Villmayor, O. 531 546
Vojtas, P. 327 331 349 385
Vopenka, P. 380 385
Wagon, S. 385
Walker, R.C. 674 678
WCC 451
Weak candidate 512
Weak distributivity 329 512
Weak product of BAs 474
Weakly countably complete algebras 417 451
Weakly endo-rigid BA 511
Weakly Galois BA 536
Weakly Galois over A 532
Weakly homogeneous BAs 549 609 679 683ff
Weese, M. 473 490 712f
Weight of a space 423
Well founded 640
Well-ordering 640
Winning strategy 324
Woodin, W. 384
Woodrow, R. 389 410 640
Yomdin, Y. 551 602 605
Zelinski, D. 531 546
Zorn's lemma 391 409 421
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