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Some principles related to Chang's conjecture
1989
Annals of Pure and Applied Logic
We determine the consistency strength of the negation of the transversal hypothesis. We also study other variants of Chang's conjecture. The transversal hypothesis TH is the statement that there exist o2 many almost disjoint functions from o1 to o. This seems tc be a basic principle because it impiies the negation of Chang's conjecture, that no wl-complete uniform filter on o1 is wrsaturated and that every uniform ultrafilter on o1 is regular. The main aim of this paper is to determine the
doi:10.1016/0168-0072(89)90030-4
fatcat:fbg64255vbaqnea6uwccbq7gqq
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... stency strength of the negation of 'PH. This will be done in Section 7 where we shcw that ZFC + 1 is equiconsistent to ZFC + "there exists a ( J/J denotes that consistencywise ZFC + @ is n the other hand, # = pv denotes that ZFC + 9 ally, dealing with games we often abbreviate 'winning strategy' by 'w.s.'. ng 3 conjecture If K = oI, Chang's conjecture is just K3m2, we can ac tually consider various versions. very structure % = (K+, (&o) of countable type, there easily seen to be equivalent. Concerning the third, shall Some principles reilated to Char@ conjecture 41
Some stationary subsets of $\mathcal{P}(\lambda)$
1988
Proceedings of the American Mathematical Society
Let k, and A be uncountable cardinals such that k < X, and set S(k, X) = {X € PkW\ \XHk\ < \X\}. We determine the consistency strength of the statement "(3A > k)(S(k, X) is stationary in PK(X))" using a new type of partition cardinals. In addition, we show that the property "S{k, k+) is stationary in Pk(k.+ )" is much stronger. Let k and A be two cardinals such that k is regular and A > k > uj. Set S(k, A) = {X G PK{X)\ \X n k| < \X\}. Baumgartner and Baldwin introduced this set (see [2] ) and
doi:10.1090/s0002-9939-1988-0934882-6
fatcat:fmtx4wrjsjghdbrhvhatlehft4
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... btained partial results concerning the question whether S(k,X) is stationary in PK(X). In this paper we strengthen their results. We determine the exact consistency strength of the property "(3A > k)(S(k, A) is stationary in PK(X))V. Moreover, we show that this property becomes much stronger if we also require that the gap between k and A is small. Recall that if k is /c+-supercompact, then S(k,k+) is stationary in Pk(k+) (see [1] ).
Page 16 of BGR. Business and Government Review Vol. 5, Issue 3
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1964
BGR. Business and Government Review
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1989
Mathematical Reviews
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1986
Mathematical Reviews
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1994
Mathematical Reviews
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Lingas, Andrzej po) ee See Linhart, Johann Linhart, Johann WO tS hac hivensersnccaiedse 51016 Linz, Peter Fy We daerakckig dncn Gace rcatescceec 62086 Ligme, Ferkescccscsces 35026, See also * 00014 Lions, Pierre-Louis ...
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CRAIN SSO TR. oi ceca vcsacciacs 53078 Lechtenfeld, Olaf 81300-81301 Lecomte, Alain Lecomte, Pierre B. A. ...
David Levikson, Benny Ue ae Levine; FIGWAIG A... o..cc csc cca snaes 35124 Levinski, Vladimir See Levinskii, V. B. ...
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1994
Psychological Abstracts
Michael, 37858 Malone, Jean, 37685 Malott, Richard W., 39191 Malotte, C. ...
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Page 636 of Mathematical Reviews Vol. , Issue 91B
[page]
1991
Mathematical Reviews
Lévy (IL-HEBR)
91b:03087 03E35 03505
Donder, Hans-Dieter (D-FUB-2); Levinski, Jean-Pierre (1-DTM) Some principles related to Chang’s conjecture.
Ann. Pure Appl. Logic 45 (1989), no. 1, 39-101. ...
Pierre Matet (F-CAEN)
91b:03089 03E40
Wehrung, Friedrich (1-OHS)
Nonabsoluteness of elementary embeddings.
J. Symbolic Logic 54 (1989), no. 3, 774-778. ...
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1963
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.-+++-- 1916 Kahane, Jean-Pierre ...... 1291 Kaliski, Sylwester ........ 1715 ti, go tad 6s «be b04 1701 Kanno, Teuneo........... 1243 Kantorovié, L. ...
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Page 510 of Mathematical Reviews Vol. , Issue 96a
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1996
Mathematical Reviews
of this criterion is supported by our experimental results.”
96a:76042 76E15 76E30 76RO0S5
Aniss, Said (F-NANC-LM; Vandoeuvre-les-Nancy) ;
Souhar, Mohamed (F-NANC-LM; Vandoeuvre-les-Nancy) ;
Brancher, Jean-Pierre ...
See also 35020, 35069, 35129, 35142, 35143, 35144, 35145, 35146, 35147, 35148, 35169, 65128, 70014.
76E Hydrodynamic stability
96a:76041 76E05 76C05
Levinski, Vladimir |Levinskii, V. B.] ...
Page 416 of National Union Catalog Vol. 7, Issue
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1958
National Union Catalog
The rise of David Levinsky. New York, Ilarper ,1960, 21 cm. (Harper torehbooks,
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TB1028, The Academy
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Page 3918 of Mathematical Reviews Vol. , Issue 96g
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1996
Mathematical Reviews
, Jean-Pierre (F-CAEN; Caen) Filters and large cardinals. ...
Summary: “For each prime p, a Fraenkel-Mostowski model is constructed in which there are two elementary abelian p-groups with the same cardinality that are not isomorphic.”
96g:03085 03E35 03E55 Levinski ...
Page 5794 of Mathematical Reviews Vol. , Issue 91K
[page]
1991
Mathematical Reviews
Bukovsky (CS-SFRK)
91k:03124 03E05 03E55
Carr, Donna M. (1-WIP); Levinski, Jean-Pierre (1-OH);
Pelletier, Donald H. (3-YORK)
On the existence of strongly normal ideals over P,./.
Arch. Math. ...
Page 3550 of Mathematical Reviews Vol. , Issue 91G
[page]
1991
Mathematical Reviews
Bruno Poizat (Lyon)
91g:03071 03C52 03C55 03E40 Levinski, Jean-Pierre (1-DTM); Magidor, Menachem (IL-HEBR); Shelah, Saharon (IL-HEBR) Chang’s conjecture for ¥,,. Israel J. ...
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