Results 1 to 10 of about 106 (95)

Weakly strongly star-Menger spaces

open access: yesCubo, 2021
A space $X$ is called weakly strongly star-Menger space if for each sequence ($\mathcal{U}_{n} : n \in \omega$) of open covers of $X,$ there is a sequence $(F_n : n\in\omega)$ of finite subsets of $X$ such that $\overline{\bigcup_{n\in\omega} St(F_n ...
Gaurav Kumar, Brij K. Tyagi
doaj   +3 more sources

Absolutely strongly star-Hurewicz spaces

open access: yesOpen 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
doaj   +2 more sources

Some properties defined by relative versions of star-covering properties II

open access: yesApplied 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   +1 more source

On set star-Lindelöf spaces

open access: yesApplied General Topology, 2022
A space X is said to be set star-Lindelöf if for each nonempty subset A of X and each collection U of open sets in X such that A ⊆⋃U, there is a countable subset V of U such that A ⊆ St (⋃V,U).
Sumit Singh
doaj   +1 more source

Selectively strongly star-Menger spaces and related properties

open access: yesAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2021
A space X is selectively strongly star-Menger (briefly, selSSM) if for each sequence ... In this paper, we study some properties of selectively strongly star-Menger spaces, the relation with related properties and give some example distinguishing the ...
Maddalena Bonanzinga, Fortunato Maesano
doaj   +1 more source

Selection principles and covering properties in bitopological spaces

open access: yesApplied 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   +1 more source

Star-Hurewicz and related properties

open access: yesApplied 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
doaj   +1 more source

Almost strongly star-Menger and related properties

open access: yesApplied General Topology
In this paper we introduce the almost strongly star-Menger property and we provide some results and relationships with another known properties in literature.
Ricardo Cruz-Castillo   +2 more
doaj   +1 more source

Flexible List Coloring of Graphs With Maximum Average Degree Less Than 3

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT In the flexible list coloring problem, we consider a graph G $G$ and a color list assignment L $L$ on G $G$, as well as a subset U ⊆ V ( G ) $U\subseteq V(G)$ for which each u ∈ U $u\in U$ has a preferred color p ( u ) ∈ L ( u ) $p(u)\in L(u)$. Our goal is to find a proper L $L$‐coloring ϕ $\phi $ of G $G$ such that ϕ ( u ) = p ( u ) $\phi (u)=
Richard Bi, Peter Bradshaw
wiley   +1 more source

Some remarks on Pixley-Roy hyperspaces

open access: yesTạp chí Khoa học Đại học Huế: Khoa học Tự nhiên
In 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   +1 more source

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