Results 81 to 90 of about 218 (121)
Supercompact cardinals and a partition property
Advances in Mathematics, 1977 openaire +2 more sources
. We construct a model in which there are no @n-Aronszajn trees for any finite n 2, starting from a model with infinitely many supercompact cardinals.
Matthew Foreman, James Cummings
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, 2015 . We present a new forcing notion combining diagonal super-compact Prikry focing with interleaved extender based forcing. We start with a supercompact cardinal κ.
Dima Sinapova
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Forcing "$\mathrm{NS}_{\omega_1}$ is $\omega_1$-dense" From Large Cardinals
We answer a question of Woodin by showing that assuming an inaccessible cardinal $\kappa$ which is a limit of ${
Lietz, Andreas
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The enhanced Levinski property and the class of supercompact cardinals
The enhanced Levinski property and the class of supercompact cardinalsWe define a generalization of a property originally due to Levinski [13], show its relative consistency, and investigate some of its possible interactions with the class of supercompact cardinals.
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Failure of an higher analogue of Mho
Justin Moore\u27s weak club-guessing principle $\mho$ admits various possible generalizations to the second uncountable cardinal. One of them was shown to hold in ZFC by Shelah.
Feldman, Ido
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Generically supercompact cardinals by forcing with chain conditions (Recent Developments in Set Theory of the Reals)A ccc-generically supercompact cardinal κ, can be smaller than or equal to the continuum. On the other hand, such a cardinal κ, still satisfies diverse largeness properties, like that it is a stationary limit of ccc-generically measurable cardinals (Theorem 4.1).
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SUPERCOMPACT CARDINALS IN ZF (Recent Developments in Axiomatic Set Theory)
SUPERCOMPACT CARDINALS IN ZF (Recent Developments in Axiomatic Set Theory)openaire