Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Mykhailo Zarichnyi"'
Publikováno v:
Studia Historiae Scientiarum, Vol 23 (2024)
The article is devoted to two volumes of Leonhard Euler’s correspondence with mathematicians and other scientists. The first of these volumes (in two parts) is devoted to correspondence with Christian Goldbach. We consider selected topics from t
Externí odkaz:
https://doaj.org/article/ecb37545602d430aab9e8e7a2555ec8b
Publikováno v:
Philosophia Scientiæ, Vol 27, Iss 3, Pp 215-227 (2023)
The philosophy of scientific research does not always correlate with the declared philosophical views of researchers. In the light of this, we look at the activities of the interwar Lwów School of Mathematics whose leaders were Stefan Banach and Hug
Externí odkaz:
https://doaj.org/article/9d5db1844ee64efaaf86ccae010be7cb
Autor:
Mykhailo Zarichnyi, Oryslava Polivoda
Publikováno v:
Pracì Mìžnarodnogo Geometričnogo Centru, Vol 13, Iss 3, Pp 49-57 (2020)
Haver's property C turns out to be related to Borst's transfinite extension of the covering dimension. We prove that, for a uncountably many countable ordinals β there exists a strongly universal kω-space for the class of spaces of transfinite cove
Externí odkaz:
https://doaj.org/article/d2c830f4978f498fbae169406906cc99
Autor:
Natalia Mazurenko, Mykhailo Zarichnyi
Publikováno v:
Pracì Mìžnarodnogo Geometričnogo Centru, Vol 12, Iss 4, Pp 60-68 (2020)
It is proved that for any iterated function system of contractions on a complete metric space there exists an invariant compact convex sets of probability measures of compact support on this space. A similar result is proved for the inhomogeneous com
Externí odkaz:
https://doaj.org/article/1f804997b153469d9e2ec9dbb13680da
Publikováno v:
Pracì Mìžnarodnogo Geometričnogo Centru, Vol 8, Iss 3-4, Pp 40-45 (2020)
We introduce a counterpart of the Frechet distance for the rooted trees in a metric space. Some properties and possible generalizations of this distance are discussed.
Externí odkaz:
https://doaj.org/article/b730cdecd46b477aa8b83c66596a8218
Autor:
Mykhailo Zarichnyi, Mykhailo Romanskyi
Publikováno v:
Pracì Mìžnarodnogo Geometričnogo Centru, Vol 8, Iss 3-4, Pp 60-64 (2020)
It is known that the hyperspaces of compact sets and compact convex set of the Euclidean space $\mathbb R^n$, $n\ge2$, both are homeomorphic to the puctured Hilbert cube. The main result of this note states that these hyperspaces are not coarsely
Externí odkaz:
https://doaj.org/article/43c771dbc9364cf5a4a377b36cf87d5d
Publikováno v:
Pracì Mìžnarodnogo Geometričnogo Centru, Vol 8, Iss 2 (2015)
The notion of idempotent measure is a counterpart of that of probability measure in the idempotent mathematics. In this note, we consider a metric on the set of compact, idempotent measure spaces (mim-spaces) and prove that this space is separable an
Externí odkaz:
https://doaj.org/article/9e9a5ef4cde3467ead1f78d5f8a0a7aa
Publikováno v:
Pracì Mìžnarodnogo Geometričnogo Centru, Vol 7, Iss 4 (2015)
We derive the proof of continuity of the correspondence of probability measures with restricted marginals from the property of bicommutativity in the sense of E. Shchepin of probability measure functor.
Externí odkaz:
https://doaj.org/article/edf6e9f3c37d4b2ca51b5ccb2c379d15
Autor:
Mykhailo Zarichnyi, Natalia Mazurenko
Publikováno v:
Pracì Mìžnarodnogo Geometričnogo Centru, Vol 12, Iss 4, Pp 60-68 (2020)
It is proved that for any iterated function system of contractions on a complete metric space there exists an invariant compact convex sets of probability measures of compact support on this space. A similar result is proved for the inhomogeneous com
Publikováno v:
Pracì Mìžnarodnogo Geometričnogo Centru, Vol 8, Iss 3-4, Pp 40-45 (2020)
We introduce a counterpart of the Frechet distance for the rooted trees in a metric space. Some properties and possible generalizations of this distance are discussed.