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Absolutely strongly star-Hurewicz spaces
Open Mathematics, 2015 A space X is absolutely strongly star-Hurewicz if for each sequence (Un :n ∈ℕ/ of open covers of X and each dense subset D of X, there exists a sequence (Fn :n ∈ℕ/ of finite subsets of D such that for each x ∈X, x ∈St(Fn; Un) for all but finitely many n.
Yan-Kui Song
exaly +4 more sources
Some properties defined by relative versions of star-covering properties II
Applied General Topology, 2023 In this paper we consider some recent relative versions of Menger property called set strongly star Menger and set star Menger properties and the corresponding Hurewicz-type properties. In particular, using [2], we "easily" prove that the set strong star
Maddalena Bonanzinga +2 more
doaj +3 more sources
Selection principles and covering properties in bitopological spaces [PDF]
Applied General Topology, 2020 Our main focus in this paper is to introduce and study various selection principles in bitopological spaces. In particular, Menger type, and Hurewicz type covering properties like: Almost p-Menger, star p-Menger, strongly star p-Menger, weakly p-Hurewicz,
Moiz ud Din Khan, Amani Sabah
doaj +2 more sources
The Absolutely Strongly Star-Hurewicz Property with Respect to an Ideal
Tatra Mountains Mathematical Publications, 2020 Abstract Aspace X is said to have the absolutely strongly star --Hurewicz (ASSH) property if for each sequence (𝒰 n : n ∈ )of opencovers of
Sumit Singh, Manoj Bhardwaj
exaly +2 more sources
Remarks on strongly star-Hurewicz spaces
Filomat, 2013 A space X is strongly star-Hurewicz if for each sequence (Un : n ∈ N) of open covers of X there exists a sequence (An : n ∈ N) of finite subsets of X such that for each x ∈ X, x ∈ St(An; Un) for all but finitely many n. In this paper, we continue to investigate topological properties of strongly star-Hurewicz spaces.
Yan-Kui Song, Song Yan-Kui
exaly +3 more sources
Some remarks on Pixley-Roy hyperspaces
Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiênIn this paper, we study cellular-compact, cellular-Lindel\"of, strongly star-Hurewicz, strongly star-Rothberger, strongly star-Menger spaces on hyperspaces with the Pixley-Roy topology.
Quoc Tuyen Luong +2 more
doaj +3 more sources
Open Mathematics, 2019 In this paper we define and investigate nearly Hurewicz spaces and their star version. It is shown that a nearly Hurewicz space fits between Hurewicz and almost Hurewicz spaces.
Aqsa, Khan Moiz ud Din
exaly +2 more sources
Strongly countable dimensional compacta form the Hurewicz set
Topology and Its Applications, 2007 The hyperspaces of strongly countable dimensional compacta of positive dimension and of strongly countable dimensional continua of dimension greater than 1 in the Hilbert cube are homeomorphic to the Hurewicz set of all nonempty countable closed subsets ...
Paweł Krupski, Alicja Samulewicz
exaly +2 more sources
Variations of some star selection properties [PDF]
, 2021 4th International Conference of Mathematical Sciences (ICMS) -- JUN 17-21, 2020 -- Maltepe Univ, ELECTR NETWORKIn this paper we introduce some new types of star covering properties which we call set (strongly) star Menger, set (strongly) star Rothberger,
Şükran Konca +5 more
core +1 more source
Set star-menger and set strongly star-menger spaces [PDF]
, 2022 Motivated by the Arhangel'skii s-Lindelof cardinal function definition, Kocinac and Konca defined and studied set covering properties and set star covering properties.
Konca, Şükran +2 more
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