Results 261 to 270 of about 36,156 (297)

Innovations in spinal cord cell type heterogeneity across vertebrate evolution

Ignatyev Y, Papadopoulos S, Soretić M, Yeung J, Lin T, Tanaka EM, Peshkin L, Levine AJ, Gabitto MI, Sweeney LB.   +9 more
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Advanced Course on Large Cardinals and Strong Logics

, 2016
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Calculus on strong partition cardinals

Mathematical Logic Quarterly, 2006
AbstractIn [1] it was shown that if κ is a strong partition cardinal, then every function from [κ ]κ to [κ ]κ is continuous almost everywhere. In this investigation, we explore whether such functions are differentiable or integrable in any sense. Some of them are. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
J. M. Henle
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Strong Cardinals can be Fully Laver Indestructible

Mathematical Logic Quarterly, 2002
Summary: We prove three theorems which show that it is relatively consistent for any strong cardinal \(\kappa\) to be fully Laver indestructible under \(\kappa\)-directed closed forcing.
Arthur W Apter
exaly   +3 more sources

Tall, Strong, and Strongly Compact Cardinals

Sarajevo Journal of Mathematics, 2022
We construct three models in which there are different relationships among the classes of strongly compact, strong, and non-strong tall cardinals. In the first two of these models, the strongly compact and strong cardinals coincide precisely, and every strongly compact/strong cardinal is a limit of non-strong tall cardinals. In the remaining model, the
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On the ultrafilters and ultrapowers of strong partition cardinals

Journal of Symbolic Logic, 1984
A strong partition cardinal is an uncountable well-ordered cardinal κ such that every partition of [κ]κ (the size κ subsets of κ) into less than κ many pieces has a homogeneous set of size κ. The existence of such cardinals is inconsistent with the axiom of choice, and our work concerning them is carried out in ZF set theory with just dependent choice (
James M. Henle, E. M. Kleinberg, Ronald J. Watro   +2 more
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STRONG COMPACTNESS, SQUARE, GCH, AND WOODIN CARDINALS

The Journal of Symbolic Logic, 2022
AbstractWe show the consistency, relative to the appropriate supercompactness or strong compactness assumptions, of the existence of a non-supercompact strongly compact cardinal $\kappa _0$ (the least measurable cardinal) exhibiting properties which are impossible when $\kappa _0$ is supercompact.
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Weak strong partition cardinals

Journal of Symbolic Logic, 1984
In a series of papers [K2], [K3], [K4], E. M. Kleinberg established the extensive properties of what are now called “strong partition cardinals”, cardinals satisfying for all λ < κ. The purpose of this note is to show that all these consequences and the results in [H] and [W] can be obtained from the weaker relation and many from .We assume the ...
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Strong partition properties for infinite cardinals

Journal of Symbolic Logic, 1970
The notion of a “partition relation”, as it has been studied in the context of set theory for the past several years, was inspired by the following theorem of F. P. Ramsey [14]:Theorem 0.1. Let n be a positive integer and let {A, B} be a partition of those subsets of the nonnegative integers containing exactly n elements.
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