Results 1 to 10 of about 233 (46)
Some properties defined by relative versions of star-covering properties II [PDF]
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
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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
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Counterexample of theorems on star versions of Hurewicz property [PDF]
Applied General Topology, 2020 In this paper, an example contradicting Theorem 4.5 and Theorem 5.3 is provided and these theorems are proved under some extra hypothesis.
Manoj Bhardwaj
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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.
Song Yan-Kui
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Some remarks on Pixley-Roy hyperspaces [PDF]
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
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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 X and each dense subset Y of X, there is a sequence (Fn : n ∈ ) of finite subsets of Y such that for each x ∈ X, {n ∈ : x ∉ St(Fn
Singh, Sumit +2 more
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Selection principles in mathematics: A milestone of open problems [PDF]
, 2003 We survey some of the major open problems involving selection principles, diagonalizations, and covering properties in topology and infinite combinatorics.
Tsaban, Boaz
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Plato's cave and differential forms [PDF]
, 2019 In the 1970s and again in the 1990s, Gromov gave a number of theorems and conjectures motivated by the notion that the real homotopy theory of compact manifolds and simplicial complexes influences the geometry of maps between them.
Manin, Fedor
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Star versions of the Hurewicz basis covering property and strong measure zero spaces [PDF]
, 2020 In this paper, we introduced the star version of the Hurewicz basis covering property, studied by Babinkostova, Kočinac, and Scheepers in 2004. The authors obtained the relationship between star-selection principles and the star version of the Hurewicz ...
Bhardwaj, M., Osipov, A. V.
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Star-Hurewicz and related properties
Applied General Topology, 2004 We continue the investigation of star selection principles first considered. We are concentrated onto star versions of the Hurewicz covering property and star selection principles related to the classes of open covers which have been recently introduced.
M. Bonanzinga +2 more
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