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341.
Saharon Shelah 《Israel Journal of Mathematics》1972,12(1):23-31
In this paper we shall characterize the filtersD such that for everyM
i,M
i,Πi∈I
Mi/D is λ-saturated (where λ>ℵ0). The characterization is:D is λ-good,D is ℵ0 incomplete andS(I)/D is λ-saturated. 相似文献
342.
Jean-Pierre Levinski Menachem Magidor Saharon Shelah 《Israel Journal of Mathematics》1990,69(2):161-172
We establish, starting from some assumptions of the order of magnitude of a huge cardinal, the consistency of (ℵω+1,ℵω)↠(ω1,ω0), as well as of some other transfer properties of the type (κ+,κ)↠(α+,α), where κ is singular. 相似文献
343.
344.
S. Shelah 《Israel Journal of Mathematics》1990,69(2):193-213
We give a general technique on how to produce counterexamples to Beth's definability (and weak definability) theorem. The method is then applied for various infinitary, cardinality quantifier logics and Δ-closure of such logics. 相似文献
345.
For an idealJ on an infinite setX with add(J)=κ, let
be the smallest size of any subfamilyY ofJ with the property that any member ofJ can be covered by less than κ members ofY. We study the value of
forA in
, where
denotes the smallest [δ]<θ ideal onP
κ(λ). We also discuss the problem of whether there exists a setA such that
, or even
.
Some of the material in this paper originally appeared as part of the author's doctoral dissertation completed at the Université
de Caen, 1998.
Partially supported by the Israel Science Foundation. Publication 813. 相似文献
346.
We show that a strong form of the so called Lindströms Theorem [4] fails to generalize to extensions of L and L : For weakly compact there is no strongest extension of L with the (,)-compactness property and the Löwenheim-Skolem theorem down to . With an additional set-theoretic assumption, there is no strongest extension of L with the (,)-compactness property and the Löwenheim-Skolem theorem down to <.We are indebted to Lauri Hella, Tapani Hyttinen and Kerkko Luosto for useful suggestions.Research partially supported by the United States-Israel Binational Science Foundation. Publication number [ShVa:726]Research partially supported by grant 40734 of the Academy of Finland. 相似文献
347.
It is shown that if a closed setS in the plane is (n+1)-convex, then it has no more thann
4 holes. As a consequence, it can be covered by≤n
6 convex subsets. This is an improvement on the known bound of 2
n
·n
3.
The author would like to thank the BSF for partially supporting this research. Publication no. 354. 相似文献
348.
The notion of stationary reflection is one of the most importantnotions of combinatorial set theory. Weak reflection, whichis, as its name suggests, a weak version of stationary reflection,is investigated. The main result is that modulo a large cardinalassumption close to 2-hugeness, there can be a regular cardinal such that the first cardinal weakly reflecting at is the successorof a singular cardinal. This answers a question of Cummings,Damonja and Shelah. 相似文献
349.
We show that there are proper forcings based upon countable trees of creatures that specialise a given Aronszajn tree.The first author was partially supported by a Minerva fellowship. The second author's research was partially supported by the ``Israel Science Foundation', founded by the Israel Academy of Science and Humanities. This is the second author's work number 778.
Mathematics Subject Classification (2000): 03E15, 03E17, 03E35, 03D65 相似文献
350.
Menachem Kojman Saharon Shelah 《Proceedings of the American Mathematical Society》2003,131(5):1619-1622
A Hausdorff topological space is van der Waerden if for every sequence in there is a converging subsequence where contains arithmetic progressions of all finite lengths. A Hausdorff topological space is Hindman if for every sequence in there is an IP-converging subsequence for some infinite .
We show that the continuum hypothesis implies the existence of a van der Waerden space which is not Hindman.