Filomat 2017 Volume 31, Issue 5, Pages: 1279-1285
https://doi.org/10.2298/FIL1705279S
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On star-K-Hurewicz spaces
Song Yan-Kui (Nanjing Normal University, School of Mathematical Science, Institute of Mathematics, Nanjing, P.R. China)
A space X is star-K-Hurewicz if for each sequence (Un : n N) of open covers
of X there exists a sequence (Kn : n N) of compact subsets of X such that
for each x X, x St(Kn,Un) for all but finitely many n. In this paper, we
investigate the relationship between star-K-Hurewicz spaces and related
spaces by giving some examples, and also study topological properties of
star-K-Hurewicz spaces.
Keywords: Selection principles, star-Menger, strongly star-Menger, star-K-Hurewicz, star-Hurewicz, strongly star-Hurewicz, strongly star compact