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
AbstractIt is shown that if a semi-uniformity has a base consisting of countable covers, then there ...
Abstract. Via two short proofs and three constructions, we show how to increase the model-theoretic ...
This thesis investigates combinatorial properties of ultrafilters and their model-theoretic signific...
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...
AbstractLet (q(X),⊆) denote the lattice consisting of the set q(X) of all quasi-uniformities on a se...
AbstractWe describe the atoms of the complete lattice (q(X),⊆) of all quasi-uniformities on a given ...
Includes bibliographical references.Over the last thirty years much progress has been made in the in...
We study some limitations and possible occurrences of uniform ultrafilters on ordinals without the a...
AbstractAn important application of ultrafilters is in the ultraproduct construction in model theory...
The topics of this thesis are properties that distinguish between the 22Xo isomorphism-classes (call...
summary:We show that given infinite sets $X,Y$ and a function $f:X\rightarrow Y$ which is onto and $...
AbstractWe consider Ramsey-style partition theorems in which homogeneity is asserted not for subsets...
We introduce the notion of a coherent P-ultrafilter on a complete ccc Boolean algebra, strengthening...
summary:We introduce the notion of a {coherent $P$-ultrafilter} on a complete ccc Boolean algebra, s...
AbstractIt is shown that if a semi-uniformity has a base consisting of countable covers, then there ...
Abstract. Via two short proofs and three constructions, we show how to increase the model-theoretic ...
This thesis investigates combinatorial properties of ultrafilters and their model-theoretic signific...
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...
AbstractLet (q(X),⊆) denote the lattice consisting of the set q(X) of all quasi-uniformities on a se...
AbstractWe describe the atoms of the complete lattice (q(X),⊆) of all quasi-uniformities on a given ...
Includes bibliographical references.Over the last thirty years much progress has been made in the in...
We study some limitations and possible occurrences of uniform ultrafilters on ordinals without the a...
AbstractAn important application of ultrafilters is in the ultraproduct construction in model theory...
The topics of this thesis are properties that distinguish between the 22Xo isomorphism-classes (call...
summary:We show that given infinite sets $X,Y$ and a function $f:X\rightarrow Y$ which is onto and $...
AbstractWe consider Ramsey-style partition theorems in which homogeneity is asserted not for subsets...
We introduce the notion of a coherent P-ultrafilter on a complete ccc Boolean algebra, strengthening...
summary:We introduce the notion of a {coherent $P$-ultrafilter} on a complete ccc Boolean algebra, s...
AbstractIt is shown that if a semi-uniformity has a base consisting of countable covers, then there ...
Abstract. Via two short proofs and three constructions, we show how to increase the model-theoretic ...
This thesis investigates combinatorial properties of ultrafilters and their model-theoretic signific...