Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Oleg Okunev"'
Autor:
Alfredo Sánchez Jiménez, Oleg Okunev
Publikováno v:
European Journal of Mathematics. 6:80-87
We prove, modifying Dowker’s example, that there exists a normal space X such that is Lindelof, X is zero-dimensional and is not strongly zero-dimensional.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9bded6cd547eb87f937b7acc4de97026
https://doi.org/10.1007/s40879-019-00386-9
https://doi.org/10.1007/s40879-019-00386-9
Autor:
Oleg Okunev, Raushan Z. Buzyakova
Publikováno v:
Lobachevskii Journal of Mathematics. 39:173-178
We study separating function sets. We find some necessary and sufficient conditions for $C_p(X)$ or $C_p^2(X)$ to have a point-separating subspace that is a metric space with certain nice properties. One of the corollaries to our discussion is that f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e17742bdc8e6ff71ad1e9aaa5a0557a4
https://doi.org/10.1134/s1995080218020063
https://doi.org/10.1134/s1995080218020063
Autor:
Alejandro Ramírez Páramo, Oleg Okunev
Publikováno v:
Topology and its Applications. 228:236-242
We prove that t 0 ( X × Y ) ≤ t 0 ( X ) t 0 ( Y ) if the space X is locally compact. To this end we use the connection between the functional tightness and R-quotient mappings; in particular, we prove an analogue of the Whitehead Theorem for R-quo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::27f6238973743a308964b0824d80d346
https://doi.org/10.1016/j.topol.2017.06.009
https://doi.org/10.1016/j.topol.2017.06.009
Autor:
Oleg Okunev, M. Tkačenko
Publikováno v:
abelian groups, module theory, and topology
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::93605590b897755e76a69ba399d6f5b5
https://doi.org/10.1201/9780429187605-28
https://doi.org/10.1201/9780429187605-28
Autor:
Oleg Okunev
Publikováno v:
Topology and its Applications. 208:10-16
We prove that t m ( X × Y ) ≤ t m ( X ) t m ( Y ) if the space Y is locally compact, and that always t m ( X × Y ) ≤ t m ( X ) χ ( Y ) , where t m ( Z ) is the minitightness (a.k.a. the weak functional tightness) of a space Z .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::36dad3b6c61f349548a4cdbad067f80c
https://doi.org/10.1016/j.topol.2016.05.003
https://doi.org/10.1016/j.topol.2016.05.003
Autor:
Raushan Z. Buzyakova, Oleg Okunev
We study point-separating function sets that are minimal with respect to the property of being separating. We first show that for a compact space $X$ having a minimal separating function set in $C_p(X)$ is equivalent to having a minimal separating co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::344cc39ff9833fa31b95805e4be19267
Autor:
Fernando Sánchez-Texis, Oleg Okunev
Publikováno v:
Topology and its Applications. 163:174-180
We prove that if X is a quasiregular, countably compact space with a pseudobase consisting of closed G δ -sets, then every G δ -dense subspace of X is pseudocomplete in the sense of Todd. In particular, every weakly pseudocompact space is pseudocom
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ba142c3c36c0b2b5fce05ef9c963017c
https://doi.org/10.1016/j.topol.2013.10.016
https://doi.org/10.1016/j.topol.2013.10.016
Autor:
Vladimir V. Tkachuk, Oleg Okunev
Publikováno v:
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas. 108:419-430
The operation of extending functions from \(\scriptstyle X\) to \(\scriptstyle \upsilon X\) is \(\scriptstyle \omega \)-continuous, so it is natural to study \(\scriptstyle \omega \)-continuous maps systematically if we want to find out which propert
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd9534545f7149aaa9d786339a147320
https://doi.org/10.1007/s13398-012-0111-5
https://doi.org/10.1007/s13398-012-0111-5
Autor:
Oleg Okunev
Publikováno v:
Open Mathematics, Vol 9, Iss 5, Pp 978-983 (2011)
We prove that if X is a strongly zero-dimensional space, then for every locally compact second-countable space M, C p (X, M) is a continuous image of a closed subspace of C p (X). It follows in particular, that for strongly zero-dimensional spaces X,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b8d6558233590b662bc47e7bd7309f7
https://doaj.org/article/b0d810c285ba49fc8b1b22096a8ab627
https://doaj.org/article/b0d810c285ba49fc8b1b22096a8ab627
Autor:
Oleg Okunev, Israel Molina Lara
Publikováno v:
Open Mathematics, Vol 8, Iss 4, Pp 754-762 (2010)
We present a few results and problems related to spaces of continuous functions with the topology of pointwise convergence and the classes of LΣ(≤ ω)-spaces; in particular, we prove that every Gul’ko compact space of cardinality less or equal t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be09a66678d903ee19686e036997e3ad
https://doaj.org/article/d2cecdfdd19f49c0b2a1ad5bac293770
https://doaj.org/article/d2cecdfdd19f49c0b2a1ad5bac293770