AbstractFor an arbitrary ideal I on the regular cardinal κ we consider the problem of refining a given collection {Aα:α < κ}⊆P(κ)−I by another collection {Bα:α<κ}⊆P(k)−I so that the sets in the latter collection are as nearly pairwise disjoint as possible. In this context we discuss regularity of ultrafilters, saturation of ideals and some problems of Fodor and Ulam
AbstractWe show that it is consistent that the reaping number ris less than u, the size of the small...
. We prove some restrictions on the possible cofinalities of ultrapowers of the natural numbers wit...
In this paper we analyse and compare two different notions of regularity for filters on complete Boo...
Abstract. Two classes of ultrafilters on natural numbers are presented which are determined by the s...
AbstractSuppose that λ is the successor of a singular cardinal μ whose cofinality is an uncountable ...
Abstract. Via two short proofs and three constructions, we show how to increase the model-theoretic ...
AbstractLet μκ denote the space of uniform ultrafilters on κ, and let λ be a cardinal. Uϵμκ is said ...
Abstract. This paper contributes to the set-theoretic side of understanding Keisler’s order. We cons...
AbstractWe shall prove that for any regular λ and strongly normal λ-saturated ideal I on Pκλ the Sup...
We prove the following: Theorem A. If D is a (λ +, κ)-regular ultrafilter, then either (a) D is (λ, ...
Suppose κ is a supercompact cardinal and λ≥κ. In [3], we studied the relationship between the weak p...
We study some limitations and possible occurrences of uniform ultrafilters on ordinals without the a...
and the singular cardinal hypothesis by Yoshihiro Abe (Numazu) Abstract. In §1, we observe that a we...
AbstractWe show that it is consistent that the reaping number ris less than u, the size of the small...
Abstract. This paper covers the talk held by the author at 35th Winter School on Abstract Analysis- ...
AbstractWe show that it is consistent that the reaping number ris less than u, the size of the small...
. We prove some restrictions on the possible cofinalities of ultrapowers of the natural numbers wit...
In this paper we analyse and compare two different notions of regularity for filters on complete Boo...
Abstract. Two classes of ultrafilters on natural numbers are presented which are determined by the s...
AbstractSuppose that λ is the successor of a singular cardinal μ whose cofinality is an uncountable ...
Abstract. Via two short proofs and three constructions, we show how to increase the model-theoretic ...
AbstractLet μκ denote the space of uniform ultrafilters on κ, and let λ be a cardinal. Uϵμκ is said ...
Abstract. This paper contributes to the set-theoretic side of understanding Keisler’s order. We cons...
AbstractWe shall prove that for any regular λ and strongly normal λ-saturated ideal I on Pκλ the Sup...
We prove the following: Theorem A. If D is a (λ +, κ)-regular ultrafilter, then either (a) D is (λ, ...
Suppose κ is a supercompact cardinal and λ≥κ. In [3], we studied the relationship between the weak p...
We study some limitations and possible occurrences of uniform ultrafilters on ordinals without the a...
and the singular cardinal hypothesis by Yoshihiro Abe (Numazu) Abstract. In §1, we observe that a we...
AbstractWe show that it is consistent that the reaping number ris less than u, the size of the small...
Abstract. This paper covers the talk held by the author at 35th Winter School on Abstract Analysis- ...
AbstractWe show that it is consistent that the reaping number ris less than u, the size of the small...
. We prove some restrictions on the possible cofinalities of ultrapowers of the natural numbers wit...
In this paper we analyse and compare two different notions of regularity for filters on complete Boo...
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