A note on selectively star-ccc spaces

Song, Yan-Kui; Xuan, Wei-Feng

doi:10.1016/j.topol.2019.06.045

Cited by 14 publications

(6 citation statements)

References 9 publications

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“…is space is set selectively 2-star-ccc because it contains the set selectively star-ccc space L ∩ ω � ∅ as a dense subspace. On the contrary, this space is not set strongly star-Lindelöf (because it is not star-Lindelöf ), and it is not set selectively star-ccc as it was shown in (Example 3.4 in [21]).…”

Section: Open Problemsmentioning

confidence: 87%

“…is not set selectively star-ccc. Song and Xuan (Example 1 in [21]) proved that the Tychonoff space Y is not selectively star-ccc. us, Y is not set selectively star-ccc (since every set selectively star-ccc space is selectively star-ccc).…”

Section: Claim 2 φ(Y)mentioning

confidence: 99%

“…Song and Xuan ( eorem 3.6 in [21]) showed that an open F σ -subset of selectively star-ccc space is selectively starccc.…”

Section: Open Problemsmentioning

confidence: 99%

“…Let Y � M ∪ (c × ω) be the space from Example 7. Song and Xuan (Example 1 in [21]) showed that the Y is a Tychonoff space which is neither strongly star-Lindelöf nor selectively star-ccc. us, Y is neither set strongly star-Lindelöf nor set selectively star-ccc (since every set selectively star-ccc space is selectively star-ccc and every set strongly star-Lindelöf space is strongly star-Lindelöf ).…”

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confidence: 99%

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On the Set Version of Selectively Star-CCC Spaces

Kočinac

Singh

2020

Journal of Mathematics

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A space X is said to be set selectively star-ccc if for each nonempty subset B of X , for each collection U of open sets in X such that B ¯ ⊂ ∪ U , and for each sequence A n : n ∈ ℕ of maximal cellular open families in X , there is a sequence A n : n ∈ ℕ such that, for each n ∈ ℕ , A n ∈ A n and B ⊂ St ∪ n ∈ ℕ A n , U . In this paper, we introduce set selectively star-ccc spaces and investigate the relationship between set selectively star-ccc and other related spaces. We also study the topological properties of set selectively star-ccc spaces. Some open problems are posed.

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Section: Open Problemsmentioning

confidence: 87%

Section: Claim 2 φ(Y)mentioning

confidence: 99%

“…Song and Xuan ( eorem 3.6 in [21]) showed that an open F σ -subset of selectively star-ccc space is selectively starccc.…”

Section: Open Problemsmentioning

confidence: 99%

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confidence: 99%

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On the Set Version of Selectively Star-CCC Spaces

Kočinac

Singh

2020

Journal of Mathematics

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“…We now present a bitopological version of selectively star-ccc spaces introduced and studied in [19] (see also [32][33][34]). Definition 6.…”

Section: Selectively Star-ccc Bispacesmentioning

confidence: 99%

More on Selective Covering Properties in Bitopological Spaces

Kočinac

Özçağ

2021

Journal of Mathematics

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In this study, we continue our investigation of selective covering properties in bitopological spaces. We discuss their behaviour under certain kinds of mappings. We also introduce selective versions of the ccc property and the star-ccc property in bitopological spaces and give few of their relations with other selective properties. Also, we consider preservation of selective covering properties of bitopological spaces under some known relations in bitopological context.

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Notes on selectively 2-star-ccc spaces

Xuan

Song

2020

RACSAM

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A note on selectively star-ccc spaces

Cited by 14 publications

References 9 publications

On the Set Version of Selectively Star-CCC Spaces

On the Set Version of Selectively Star-CCC Spaces

More on Selective Covering Properties in Bitopological Spaces

Notes on selectively 2-star-ccc spaces

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