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- Yukhnovskii Institute for Condensed Matter Physics of the National Academy of Sciences of UkraineUA61 papers
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- Częstochowa University of TechnologyPL11 papers
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10 papers · 1 filter
Max-min measures on ultrametric spaces
Matija Cencelj, Dušan Repovš, Mykhailo Zarichnyi
The ultrametrization of the set of all probability measures of compact support on the ultrametric spaces was first defined by Hartog and de Vink. In this paper we consider a simila…
There is no monad based on Hartman-Mycielski functor
Lesya Karchevska, Iryna Peregnyak, Taras Radul
We show that there is no monad based on the normal functor introduced earlier by Radul which is a certain functorial compactification of the Hartman-Mycielski construction …
Hyperspaces of max-plus convex subsets of powers of the real line
Lidia Bazylevych, Dušan Repovš, Mykhailo Zarichnyi
The notion of max-plus convex subset of Euclidean space can be naturally extended to other linear spaces. The aim of this paper is to describe the topology of hyperspaces of max-pl…
Convex hyperspaces of probability measures and extensors in the asymptotic category
Dušan Repovš, Mykhailo Zarichnyi
The objects of the Dranishnikov asymptotic category are proper metric spaces and the morphisms are asymptotically Lipschitz maps. In this paper we provide an example of an asymptot…
Fuzzy Prokhorov metric on the set of probability measures
D. Repovš, A. Savchenko, M. Zarichnyi
We introduce a fuzzy metric on the set of probability measures on a fuzzy metric space. The construction is an analogue, in the realm of fuzzy metric spaces, of the Prokhorov metri…
Topological classification of zero-dimensional -groups
Taras Banakh
A topological group is called an -group if it admits a countable cover $\K$ by closed metrizable subspaces of such that a subset of is open in if and only…