Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Vitalij A. Chatyrko"'
Autor:
Vitalij A. Chatyrko
Publikováno v:
Applied General Topology, Vol 25, Iss 1, Pp 35-40 (2024)
We present several characterizations of σ-compact Hattori spaces, and reject some possible characterization candidates of the spaces.
Externí odkaz:
https://doaj.org/article/1a9aa190b4af4577b81606b825abd88d
Autor:
Vitalij A. Chatyrko
Publikováno v:
p-Adic Numbers, Ultrametric Analysis and Applications. 13:320-324
In this paper I consider a property of sets in the real line such that every non-empty union of finitely many sets with the property does not contain a set with a positive Lebesgue measure. Selectors of the real numbers $$\mathbb R$$ related to any p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::769805901b1ac6c1b9fcdfeb8af483ad
https://doi.org/10.1134/s2070046621040075
https://doi.org/10.1134/s2070046621040075
Publikováno v:
Topology and its Applications. 301:107497
In this article we investigate which subsets of R n generate the whole R n by the use of positive integers taken as multipliers, as well as a related question of which subsemigroups of R n are generated by different subsets of R n . In particular, we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7bceaee1c2c45152c1c1731fe8c18c5c
https://doi.org/10.1016/j.topol.2020.107497
https://doi.org/10.1016/j.topol.2020.107497
Publikováno v:
Topology and its Applications. 225:53-66
In [15] Rajagopalan and Wilansky called a space reversible if each continuous bijection of the space onto itself is a homeomorphism. They called also a space hereditarily reversible if each its subspace is reversible. We characterize the hereditarily
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e0a48a1742b1b15d273d33d1ff72b62
https://doi.org/10.1016/j.topol.2017.04.010
https://doi.org/10.1016/j.topol.2017.04.010
Autor:
Vitalij A. Chatyrko, Yasunao Hattori
Publikováno v:
Topology and its Applications. 201:432-440
We consider the following classical problems: (1) For what spaces X and Y the existence of continuous bijections of X onto Y and Y onto X implies or does not imply that the spaces are homeomorphic? (2) For what spaces X is each continuous bijection o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7054c33890c5d21d5fe4ff9a90226244
https://doi.org/10.1016/j.topol.2015.12.052
https://doi.org/10.1016/j.topol.2015.12.052
Autor:
Vitalij A. Chatyrko, Dmitri Shakhmatov
A topological space is reversible if each continuous bijection of it onto itself is open. We introduce an analogue of this notion in the category of topological groups: A topological group G is g-reversible if every continuous automorphism of G (=con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dff70c112f890773c51b0c41da1613d0
Autor:
Dmitri Shakhmatov, Vitalij A. Chatyrko
Publikováno v:
Topology and its Applications. 275:107000
By an automorphism of a topological group G we mean an isomorphism of G onto itself which is also a homeomorphism. In this article, we study the automorphism group Aut ( G ) of a dense subgroup G of R n , n ≥ 1 . We show that Aut ( G ) can be natur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4313740b3943477e1f2f3652d40550ec
https://doi.org/10.1016/j.topol.2019.107000
https://doi.org/10.1016/j.topol.2019.107000
Publikováno v:
Filomat. 30:3007-3014
We describe the small inductive dimension $\ind$ in the class of Alexandroff spaces by the use of some standard spaces. Then for $\ind$ we suggest decomposition, sum and product theorems in the class. The sum and product theorems there we prove even
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ab055f1160ed5ee6b5da372b9ece980b
https://doi.org/10.2298/fil1611007c
https://doi.org/10.2298/fil1611007c
Publikováno v:
Topology and its Applications. 179:122-130
We discuss an approach to a problem posed by A.V. Arhangelskii and E.K. van Douwen on a possibility to present a compact space as a continuous image of a homogeneous compact space. Then we suggest ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::62ca1239b7543dd6eace5319faa5bd1e
https://doi.org/10.1016/j.topol.2014.08.022
https://doi.org/10.1016/j.topol.2014.08.022
Publikováno v:
Topology and its Applications. 160:1292-1297
Let R con be the set of classes R ( X ) of remainders of metrizable compactifications of all locally compact noncompact connected separable metrizable spaces X . Results of Chatyrko and Karassev (2013) [4] imply that R con is ordered by inclusion. Fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8c94f09c37c86d514f728ca49908b3db
https://doi.org/10.1016/j.topol.2013.04.022
https://doi.org/10.1016/j.topol.2013.04.022