The main theorem is that the Ultrafilter Axiom of Woodin (J Math Log 11(2):115–37, 2011) must fail at all cardinals where the Axiom I0 holds, in all non-strategic extender models subject only to fairly general requirements on the non-strategic extender model.MathematicsPhilosoph
We show in the Zermelo-Fraenkel set theory ZF without the axiom of choice:(i) Given an finnite set X...
We introduce the notion of additive filter and present a new proof of the existence of idempotent ul...
AbstractWe measure, in the presence of the axiom of infinity, the proof-theoretic strength of the ax...
It is shown that the consistency strength of ZF + DC + "the closed unbounded ultrafilter on omega_1 ...
We study some limitations and possible occurrences of uniform ultrafilters on ordinals without the a...
Abstract. Via two short proofs and three constructions, we show how to increase the model-theoretic ...
In the first part of this paper, we explore the possibility for a very large cardinal $\kappa$ to ca...
This thesis investigates combinatorial properties of ultrafilters and their model-theoretic signific...
summary:We show that given infinite sets $X,Y$ and a function $f:X\rightarrow Y$ which is onto and $...
AbstractWe show that it is consistent that the reaping number ris less than u, the size of the small...
summary:We shall show that there is an ultrafilter on singular $\kappa$ with countable cofinality, w...
AbstractWe construct a parametrized framework, at the center of which is a space D and the notion of...
Abstract. This paper contributes to the set-theoretic side of understanding Keisler’s order. We cons...
In this paper we analyse and compare two different notions of regularity for filters on complete Boo...
AbstractI use generic embeddings induced by generic normal measures on Pκ(λ) that can be forced to e...
We show in the Zermelo-Fraenkel set theory ZF without the axiom of choice:(i) Given an finnite set X...
We introduce the notion of additive filter and present a new proof of the existence of idempotent ul...
AbstractWe measure, in the presence of the axiom of infinity, the proof-theoretic strength of the ax...
It is shown that the consistency strength of ZF + DC + "the closed unbounded ultrafilter on omega_1 ...
We study some limitations and possible occurrences of uniform ultrafilters on ordinals without the a...
Abstract. Via two short proofs and three constructions, we show how to increase the model-theoretic ...
In the first part of this paper, we explore the possibility for a very large cardinal $\kappa$ to ca...
This thesis investigates combinatorial properties of ultrafilters and their model-theoretic signific...
summary:We show that given infinite sets $X,Y$ and a function $f:X\rightarrow Y$ which is onto and $...
AbstractWe show that it is consistent that the reaping number ris less than u, the size of the small...
summary:We shall show that there is an ultrafilter on singular $\kappa$ with countable cofinality, w...
AbstractWe construct a parametrized framework, at the center of which is a space D and the notion of...
Abstract. This paper contributes to the set-theoretic side of understanding Keisler’s order. We cons...
In this paper we analyse and compare two different notions of regularity for filters on complete Boo...
AbstractI use generic embeddings induced by generic normal measures on Pκ(λ) that can be forced to e...
We show in the Zermelo-Fraenkel set theory ZF without the axiom of choice:(i) Given an finnite set X...
We introduce the notion of additive filter and present a new proof of the existence of idempotent ul...
AbstractWe measure, in the presence of the axiom of infinity, the proof-theoretic strength of the ax...
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