Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Zlatoš, Pavol"'
Autor:
Bardyla, Serhii, Zlatoš, Pavol
In this paper we investigate Schur ultrafilters on groups. Using the algebraic structure of Stone-\v{C}ech compactifications of discrete groups and Schur ultrafilters, we give a new description of Bohr compactifications of topological groups. This ap
Externí odkaz:
http://arxiv.org/abs/2409.07280
Autor:
Vodička, Martin, Zlatoš, Pavol
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 IP loops.
Externí odkaz:
http://arxiv.org/abs/1810.07575
Autor:
Zlatoš, Pavol
We will prove that, for any abelian group $G$, the canonical (surjective and continuous) mapping $\boldsymbol{\beta}G \to {\frak b}G$ from the Stone-\v{C}ech compactification $\boldsymbol{\beta}G$ of $G$ to its Bohr compactfication ${\frak b}G$ is a
Externí odkaz:
http://arxiv.org/abs/1808.04637
Autor:
Vodička, Martin, Zlatoš, Pavol
We prove a highly uniform stability or "almost-near" theorem for dual lattices of lattices $L \subseteq \Bbb R^n$. More precisely, we show that, for a vector $x$ from the linear span of a lattice $L \subseteq \Bbb R^n$, subject to $\lambda_1(L) \ge \
Externí odkaz:
http://arxiv.org/abs/1701.02548
Autor:
Zlatoš, Pavol
We introduce a fairly general concept of functional equation for $k$-tuples of functions $f_1,\dots,f_k\colon X \to Y$ between arbitrary sets. The homomorphy equations for mappings between groups and other algebraic systems, as well as various types
Externí odkaz:
http://arxiv.org/abs/1510.04829
Gordon's Conjectures: Pontryagin-van Kampen duality and the Fourier transform in hyperfinite setting
Autor:
Zlatos, Pavol
Using the ideas of E.I. Gordon we present and farther advance an approach, based on nonstandard analysis, to simultaneous approximations of locally compact abelian groups and their duals by (hyper)finite abelian groups, as well as to approximations o
Externí odkaz:
http://arxiv.org/abs/1409.6128
Autor:
Zlatoš, Pavol1 (AUTHOR) zlatos@fmph.uniba.sk
Publikováno v:
Semigroup Forum. Oct2020, Vol. 101 Issue 2, p497-506. 10p.
Akademický článek
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Autor:
Mendris, Robert, Zlatoš, Pavol
Publikováno v:
Proceedings of the American Mathematical Society, 1995 Mar 01. 123(3), 873-882.
Externí odkaz:
https://www.jstor.org/stable/2160813