Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Igor Guran"'
Publikováno v:
Applied General Topology, Vol 12, Iss 1, Pp 27-33 (2011)
We prove that a Hausdorff paratopological group G is meager if andonly if there are a nowhere dense subset A G and a countable setC G such that CA = G = AC.
Externí odkaz:
https://doaj.org/article/35f6db6b0375441cb3bb3654947c5c4b
Publikováno v:
Topological Algebra and its Applications, Vol 8, Iss 1, Pp 76-87 (2020)
A topological semigroup is monothetic provided it contains a dense cyclic subsemigroup. The Koch problem asks whether every locally compact monothetic monoid is compact. This problem was opened for more than sixty years, till in 2018 Zelenyuk obtaine
A topological group $X$ is called $duoseparable$ if there exists a countable set $S\subseteq X$ such that $SUS=X$ for any neighborhood $U\subseteq X$ of the unit. We construct a functor $F$ assigning to each (abelian) topological group $X$ a duosepar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::92b27c2f2e4232c2d56d6611ca055a0d
http://arxiv.org/abs/2002.06232
http://arxiv.org/abs/2002.06232
We discuss various modifications of separability, precompactnmess and narrowness in topological groups and test those modifications in the permutation groups $S(X)$ and $S_{
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2135e12716b6d5b847b4a73560778a52
We prove that any topological group $G$ containing a subspace $X$ of the Sorgenfrey line has spread $s(G)\ge s(X\times X)$. Under OCA, each topological group containing an uncountable subspace of the Sorgenfrey line has uncountable spread. This impli
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d4231879c2a040a3648f3673922bbad
http://arxiv.org/abs/1901.10727
http://arxiv.org/abs/1901.10727
Autor:
Michael Zarichnyi, Igor Guran
Publikováno v:
Topology and its Applications. 128:55-61
We construct a separable metrizable countable-dimensional (respectively strongly countable-dimensional) abelian topological group that contains all countable-dimensional separable metrizable abelian topological absolute G δ -groups (respectively all
Autor:
Taras Banakh, Igor Guran
Publikováno v:
Topological Algebra and its Applications, Vol 1, Iss 2013, Pp 1-8 (2013)
In this paper we introduce perfectly supportable semigroups and prove that they are \sigma-discrete in each Hausdorff shift-invariant topology. The class of perfectly supportable semigroups includes each subsemigroup S of the semigroup FRel(X) of fin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c844fecc3d06ef8f436b3e459ec6e55
http://arxiv.org/abs/1112.5727
http://arxiv.org/abs/1112.5727
Publikováno v:
Applied General Topology, Vol 12, Iss 1, Pp 27-33 (2011)
Scopus-Elsevier
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
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Scopus-Elsevier
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
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We prove that a Hausdorff paratopological group G is meager if and only if there are a nowhere dense subset A of G and a countable subset C in G such that CA=G=AC.
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb5396bde025cb6fc1333ec7efd7b14b
https://doi.org/10.4995/agt.2011.1698
https://doi.org/10.4995/agt.2011.1698
This chapter presents a collection of problems formulated by participants and guests of the Lviv topological seminar held at the Ivan Franko Lviv National University in Ukraine. The chapter begins discussion on asymptotic dimension by recalling that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7fbbd64c590171d0ae2939de760cb0ad
https://doi.org/10.1016/b978-044452208-5/50060-0
https://doi.org/10.1016/b978-044452208-5/50060-0
Publikováno v:
Topology and its Applications. (9):2258-2268
In this paper we answer several questions of Dikran Dikranjan about algebraically determined topologies on the group of (finitely supported) permutations of a set X.
Comment: 10 pages
Comment: 10 pages