summary:We study some limitations and possible occurrences of uniform ultrafilters on ordinals without the axiom of choice. We prove an Easton-like theorem about the possible spectrum of successors of regular cardinals which carry uniform ultrafilters; we also show that this spectrum is not necessarily closed
This article surveys results regarding the Tukey theory of ultrafilters on countable base sets. The ...
The topics of this thesis are properties that distinguish between the 22Xo isomorphism-classes (call...
Abstract. In the paper we formulate an axiom CPAgameprism, which is the most prominent version of th...
summary:We study some limitations and possible occurrences of uniform ultrafilters on ordinals witho...
AbstractInteraction between ultrafilters and uniformities on a countable set is investigated. Variou...
We define the notion of an ultrafilter on a set, and present three applications. The first is an alt...
. We prove some restrictions on the possible cofinalities of ultrapowers of the natural numbers wit...
summary:We shall show that there is an ultrafilter on singular $\kappa$ with countable cofinality, w...
Abstract. Via two short proofs and three constructions, we show how to increase the model-theoretic ...
AbstractFor every cardinal κ ⩾ ω, the following is consistent: each x in U(κ) (the space of uniform ...
AbstractThis is the first part of a paper devoted to atoms in the lattice of uniformities (on a give...
AbstractWe consider Ramsey-style partition theorems in which homogeneity is asserted not for subsets...
Suppose κ is a supercompact cardinal and λ≥κ. In [3], we studied the relationship between the weak p...
We isolate a new class of ultrafilters on N, called “quasi-selective” because they are intermediate ...
We develop a game-theoretic approach to partition theorems, like those of Mathias, Taylor, and Louve...
This article surveys results regarding the Tukey theory of ultrafilters on countable base sets. The ...
The topics of this thesis are properties that distinguish between the 22Xo isomorphism-classes (call...
Abstract. In the paper we formulate an axiom CPAgameprism, which is the most prominent version of th...
summary:We study some limitations and possible occurrences of uniform ultrafilters on ordinals witho...
AbstractInteraction between ultrafilters and uniformities on a countable set is investigated. Variou...
We define the notion of an ultrafilter on a set, and present three applications. The first is an alt...
. We prove some restrictions on the possible cofinalities of ultrapowers of the natural numbers wit...
summary:We shall show that there is an ultrafilter on singular $\kappa$ with countable cofinality, w...
Abstract. Via two short proofs and three constructions, we show how to increase the model-theoretic ...
AbstractFor every cardinal κ ⩾ ω, the following is consistent: each x in U(κ) (the space of uniform ...
AbstractThis is the first part of a paper devoted to atoms in the lattice of uniformities (on a give...
AbstractWe consider Ramsey-style partition theorems in which homogeneity is asserted not for subsets...
Suppose κ is a supercompact cardinal and λ≥κ. In [3], we studied the relationship between the weak p...
We isolate a new class of ultrafilters on N, called “quasi-selective” because they are intermediate ...
We develop a game-theoretic approach to partition theorems, like those of Mathias, Taylor, and Louve...
This article surveys results regarding the Tukey theory of ultrafilters on countable base sets. The ...
The topics of this thesis are properties that distinguish between the 22Xo isomorphism-classes (call...
Abstract. In the paper we formulate an axiom CPAgameprism, which is the most prominent version of th...
DOI
Add to ORKG