5 citations · 5 across the 6 of their papers we have counts for
6 papers · 1 filter
Maximal Prikry Sequences
Ernest Schimmerling, Jiaming Zhang
In this paper we investigate the covering machinery of the Jensen-Steel core model , under the hypothesis that there is no inner model with a Woodin cardinal. In an earlier work…
Some Calkin algebras have outer automorphisms
Ilijas Farah, Paul McKenney, Ernest Schimmerling
We consider various quotients of the C*-algebra of bounded operators on a nonseparable Hilbert space, and prove in some cases that, consistently, there are many outer automorphisms…
The Jensen covering property
Ernest Schimmerling, W. Hugh Woodin
An optimal extension of the Jensen covering lemma, within the limits imposed by Prikry forcing, is proved. If L[E] is an "iterable" weasel with no measurable cardinals, then either…
The covering lemma up to a Woodin cardinal
William J. Mitchell, Ernest Schimmerling, John R. Steel
A cardinal kappa is countably closed if mu^omega < kappa whenever mu < kappa. Assume that there is no inner model with a Woodin cardinal and that every set has a sharp. Let K be th…
The maximality of the core model
Ernest Schimmerling, John R. Steel
If T is an iteration tree on K and F is a countably certified extender that coheres with the final model of T, then F is on the extender sequence of the final model of T. Several a…
holds in
Ernest Schimmerling
Square-kappa-finite, the finite family version of weak square, holds at all cardinals kappa in the Mitchell-Steel inner models.