Remarks on Star-Hurewicz Spaces

Yan-Kui Song

Displaying similar documents to “Remarks on Star-Hurewicz Spaces”

Absolutely strongly star-Hurewicz spaces

Yan-Kui Song (2015)

Open Mathematics

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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. In this paper, we investigate the relationships between absolutely strongly star-Hurewicz spaces and related spaces, and also study topological properties of absolutely strongly star-Hurewicz spaces.

Remarks on strongly star-Menger spaces

Yan-Kui Song (2013)

Commentationes Mathematicae Universitatis Carolinae

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A space $X$ is strongly star-Menger if for each sequence $(𝒰_{n} : n \in ℕ)$ of open covers of $X$ , there exists a sequence $(K_{n} : n \in N)$ of finite subsets of $X$ such that ${S t (K_{n}, 𝒰_{n}) : n \in ℕ}$ is an open cover of $X$ . In this paper, we investigate the relationship between strongly star-Menger spaces and related spaces, and also study topological properties of strongly star-Menger spaces.

On Pascu Type α-Close-To-Star Functions

R. Paravatham, S. Srinivasan (1991)

Publications de l'Institut Mathématique

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A topological space is strongly paracompact if and only if for any monotone increasing open cover of it there exists a star-finite open refinement

Qu Han-Zhang (2008)

Czechoslovak Mathematical Journal

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We get the following result. A topological space is strongly paracompact if and only if for any monotone increasing open cover of it there exists a star-finite open refinement. We positively answer a question of the strongly paracompact property.

Some relative topological properties

Lj. D. Kočinac (1992)

Matematički Vesnik

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Strongly determined types and G-compactness

A. A. Ivanov (2006)

Fundamenta Mathematicae

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We study connections between G-compactness and existence of strongly determined types.

On nearly strongly paracompact spaces.

I. Kovacevic (1980)

Publications de l'Institut Mathématique [Elektronische Ressource]

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Strongly paracompact metrizable spaces

Valentin Gutev (2016)

Colloquium Mathematicae

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Strongly paracompact metrizable spaces are characterized in terms of special S-maps onto metrizable non-Archimedean spaces. A similar characterization of strongly metrizable spaces is obtained as well. The approach is based on a sieve-construction of "metric"-continuous pseudo-sections of lower semicontinuous mappings.

Strongly base-paracompact spaces

John E. Porter (2003)

Commentationes Mathematicae Universitatis Carolinae

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A space $X$ is said to be if there is a basis $ℬ$ for $X$ with $| ℬ | = w (X)$ such that every open cover of $X$ has a star-finite open refinement by members of $ℬ$ . Strongly paracompact spaces which are strongly base-paracompact are studied. Strongly base-paracompact spaces are shown have a family of functions $ℱ$ with cardinality equal to the weight such that every open cover has a locally finite partition of unity subordinated to it from $ℱ$ .