AbstractInteraction between ultrafilters and uniformities on a countable set is investigated. Various ultrafilters are constructed such that atoms in the lattice of uniformities refining the corresponding ultrafilter uniformities have special properties
Let L be a lattice ordered effect algebra. We prove that the lattice uniformities on L which make u...
Abstract. Via two short proofs and three constructions, we show how to increase the model-theoretic ...
AbstractWe describe the atoms of the complete lattice (q(X),⊆) of all quasi-uniformities on a given ...
AbstractThis is the first part of a paper devoted to atoms in the lattice of uniformities (on a give...
AbstractInteraction between ultrafilters and uniformities on a countable set is investigated. Variou...
summary:We study some limitations and possible occurrences of uniform ultrafilters on ordinals witho...
AbstractAn important application of ultrafilters is in the ultraproduct construction in model theory...
summary:We shall show that there is an ultrafilter on singular $\kappa$ with countable cofinality, w...
Abstract. Two classes of ultrafilters on natural numbers are presented which are determined by the s...
AbstractLet (q(X),⊆) denote the lattice consisting of the set q(X) of all quasi-uniformities on a se...
AbstractWe consider Ramsey-style partition theorems in which homogeneity is asserted not for subsets...
Includes bibliographical references.Over the last thirty years much progress has been made in the in...
summary:We show that given infinite sets $X,Y$ and a function $f:X\rightarrow Y$ which is onto and $...
We define the notion of an ultrafilter on a set, and present three applications. The first is an alt...
This article surveys results regarding the Tukey theory of ultrafilters on countable base sets. The ...
Let L be a lattice ordered effect algebra. We prove that the lattice uniformities on L which make u...
Abstract. Via two short proofs and three constructions, we show how to increase the model-theoretic ...
AbstractWe describe the atoms of the complete lattice (q(X),⊆) of all quasi-uniformities on a given ...
AbstractThis is the first part of a paper devoted to atoms in the lattice of uniformities (on a give...
AbstractInteraction between ultrafilters and uniformities on a countable set is investigated. Variou...
summary:We study some limitations and possible occurrences of uniform ultrafilters on ordinals witho...
AbstractAn important application of ultrafilters is in the ultraproduct construction in model theory...
summary:We shall show that there is an ultrafilter on singular $\kappa$ with countable cofinality, w...
Abstract. Two classes of ultrafilters on natural numbers are presented which are determined by the s...
AbstractLet (q(X),⊆) denote the lattice consisting of the set q(X) of all quasi-uniformities on a se...
AbstractWe consider Ramsey-style partition theorems in which homogeneity is asserted not for subsets...
Includes bibliographical references.Over the last thirty years much progress has been made in the in...
summary:We show that given infinite sets $X,Y$ and a function $f:X\rightarrow Y$ which is onto and $...
We define the notion of an ultrafilter on a set, and present three applications. The first is an alt...
This article surveys results regarding the Tukey theory of ultrafilters on countable base sets. The ...
Let L be a lattice ordered effect algebra. We prove that the lattice uniformities on L which make u...
Abstract. Via two short proofs and three constructions, we show how to increase the model-theoretic ...
AbstractWe describe the atoms of the complete lattice (q(X),⊆) of all quasi-uniformities on a given ...
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