A space X is star-Hurewicz if for each sequence (𝒰ₙ: n ∈ ℕ) of open covers of X there exists a sequence (𝓥ₙ: n ∈ ℕ) such that for each n, 𝓥ₙ is a finite subset of 𝒰ₙ, and for each x ∈ X, x ∈ St(⋃ 𝓥ₙ,𝒰ₙ) for all but finitely many n. We investigate the relationship between star-Hurewicz spaces and related spaces, and also study topological properties of star-Hurewicz spaces.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba61-3-6,
author = {Yan-Kui Song},
title = {Remarks on Star-Hurewicz Spaces},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {61},
year = {2013},
pages = {247-255},
zbl = {1291.54034},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba61-3-6}
}
Yan-Kui Song. Remarks on Star-Hurewicz Spaces. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) pp. 247-255. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba61-3-6/