Geodesic
An ideal version of the star-C-Hurewicz covering property
Filomat, Tome 33 (2019) no. 19, p. 6385

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DOI

A space X is said to have the star-C-I-Hurewicz (SCIH) property if for each sequence (Un : n ∈ N) of open covers of X there is a sequence (Kn : n ∈ N) of countably compact subsets of X such that for each x ∈ X, {n ∈ N : x St(Kn,Un)} ∈ I, where I is a proper admissible ideal of N. We investigate the relationships among the SCIH and related properties. We study the topological properties of the SCIH property. This paper generalizes several results of [21, 24] to the larger class of spaces having the SCIH property. The star-C-I-Hurewicz game is introduced. It is shown that, in a paracompact Hausdorff space X, if TWO has a winning strategy in the SCIH game on X, then TWO has a winning strategy in the I-Hurewicz game on X
DOI : 10.2298/FIL1919385S
Classification : 54D20, 54B20
Keywords: Hurewicz, star-C-Hurewicz, star-C-I-Hurewicz, compactness, ideal, covering 
Sumit Singh; Brij K Tyagi; Manoj Bhardwaj. An ideal version of the star-C-Hurewicz covering property. Filomat, Tome 33 (2019) no. 19, p. 6385 . doi: 10.2298/FIL1919385S
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     title = {An ideal version of the {star-C-Hurewicz} covering property},
     journal = {Filomat},
     pages = {6385 },
     year = {2019},
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     doi = {10.2298/FIL1919385S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL1919385S/}
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