5 papers
Schur ultrafilters and Bohr compactifications of topological groups
Serhii Bardyla, Pavol Zlatoš
In this paper we investigate Schur ultrafilters on groups. Using the algebraic structure of Stone-Čech compactifications of discrete groups and Schur ultrafilters, we give a new de…
The Finite Embedding Property for IP Loops and Local Embeddability of Groups into Finite IP Loops
Martin Vodička, Pavol Zlatoš
We prove that the class of all loops with the inverse property (IP loops) has the Finite Embedding Property (FEP). As a consequence, every group is locally embeddable into finite I…
The Bohr compactification of an abelian group as a quotient of its Stone-Čech compactification
Pavol Zlatoš
We will prove that, for any abelian group , the canonical (surjective and continuous) mapping from the Stone-Čech compactification …
A uniform stability principle for dual lattices
Martin Vodička, Pavol Zlatoš
We prove a highly uniform stability or "almost-near" theorem for dual lattices of lattices . More precisely, we show that, for a vector from the linear sp…
Stability of systems of general functional equations in the compact-open topology
Pavol Zlatoš
We introduce a fairly general concept of functional equation for -tuples of functions between arbitrary sets. The homomorphy equations for mappings…