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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
## more »

... 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##
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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
## more »

... 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] ).##
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Page 16 of BGR. Business and Government Review Vol. 5, Issue 3
[page]

1964
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BGR. Business and Government Review
*

Rise of David

*Levinsky*, 1917 Collins, Norman Gold for my Bride, 1940 Rise and fall of an English businessman. ... Block,*Jean*R. — y Co., 1929 The sacrifice of ideals accompanying the ma¬ terial success of a Jewish family of weavers in France. ...##
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Page 2428 of Mathematical Reviews Vol. , Issue 89D
[page]

1989
*
Mathematical Reviews
*

,

*Jean*-*Pierre*Levitz, Hilbert Levy, Mireille BO TERE, cccccccccee See Levi, Roni N. ... Le Boudec,*Jean*-Yves OE 58061 ID 5 sicceenainicietiiiendalaad 92003 L’Ecuyer,*Pierre*Lee, Lee, Lee, Lee, Lee, Lee, Lee, Lee, Lee, Sang Jeong ... ...##
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Page 5410 of Mathematical Reviews Vol. , Issue 86k
[page]

1986
*
Mathematical Reviews
*

Lecoutre,

*Jean*-*Pierre*Le Doussal,*Pierre*Ledoux, Michel Lé Ding Trang Lee, Chia-Hoang Lee, Clarence E. ...... Lee, H. ... ... Le Van Hot Levant, Leonid See *00001lab Lévardi, Ladszlé Levcopoulos, Christos R.D*Levinski*, Levinskil, S. V. ....... Levitt, Norman Levy, Haim Levy, Lawrence S. .... Lewis, J. ...##
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Page 6159 of Mathematical Reviews Vol. , Issue 94j
[page]

1994
*
Mathematical Reviews
*

............0.000. 68024
Leung, Man Chun
Leung, Pui Fai
Leutwiler, Heinz
Le Van Hoang
I Ga OM. cs ce vccatsaccisasaces 82090 i i 35008,58154
BN IIE onde sasecdcnocxditaanecatenn 81280 Levine, Herbert

*Levinski*... 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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Page 8158 of Mathematical Reviews Vol. , Issue 99k
[page]

1999
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Mathematical Reviews
*

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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Page 4831 of Psychological Abstracts Vol. 81, Issue 10
[page]

1994
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Psychological Abstracts
*

Michael, 37858 Malone,

*Jean*, 37685 Malott, Richard W., 39191 Malotte, C. ... ., 36270 Lefcourt, Ilene Sackler, 37036 Lefebvre,*Pierre*J., 38698 Lefebvre, Louis, 36141 LeFevre, Jo-Anne, Pong , Gordon E.. 35971 le range, Daniel, 37876, 38348 Lehman, A. ...##
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Page 636 of Mathematical Reviews Vol. , Issue 91B
[page]

1991
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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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Page 386 of Mathematical Reviews Vol. 25, Issue 2
[page]

1963
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Mathematical Reviews
*

.-+++-- 1916 Kahane,

*Jean*-*Pierre*...... 1291 Kaliski, Sylwester ........ 1715 ti, go tad 6s «be b04 1701 Kanno, Teuneo........... 1243 Kantorovié, L. ... I. .... 1964, 1967 Deis Mivescccesceseegs 1245*Levinsky*, Ely 8........... 1795 CTL Mon cccss gp shane 1152 Lianis, George .........-- 716 Linnik, Ju. V. ..... 1097b, 1572 Littlewood, J. ...##
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Page 510 of Mathematical Reviews Vol. , Issue 96a
[page]

1996
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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.] ...##
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Page 416 of National Union Catalog Vol. 7, Issue
[page]

1958
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National Union Catalog
*

The rise of David

*Levinsky*. New York, Ilarper ,1960, 21 cm. (Harper torehbooks, Introd. by John Higham. TB1028, The Academy Proll , 1. Title. ... (Series) MdBJ Cty NjR Cahen, Gilbert, 1904- Nuclear engineering, by Gilbert Cahen ,and,*Pierre*Treille. Translated by Gilbert B. Melese. Boston, Allyn and Bacon, 1961. Wag Pe Ae Trane atios Préc! ...##
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Page 3918 of Mathematical Reviews Vol. , Issue 96g
[page]

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*...##
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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. ...##
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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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