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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.
Wydawca
Rocznik
Tom
Strony
247--255
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
autor
- Institute of Mathematics School of Mathematical Sciences Nanjing Normal University Nanjing 210023, P.R. China
Bibliografia
- [1] M. Bonanzinga, F. Cammaroto and Lj. D. R. Kocinac, Star-Hurewicz and related spaces, Appl. Gen. Topology 5 (2004), 79–89.
- [2] M. Bonanzinga, F. Cammaroto, Lj. D. R. Kocinac and M. V. Matveev, On weaker forms of Menger, Rothberger and Hurewicz properties, Mat. Vesnik 61 (2009), 13–23.
- [3] F. Cammaroto, Lj. D. R. Kocinac and G. Nordo, F-Hurewicz spaces, Questions Answers Gen. Topology 22 (2004), 23–32.
- [4] J.-L. Cao and Y.-K. Song, Aquaro number versus absolute star-Lindelöf number, Houston J. Math. 29 (2003), 925–936.
- [5] E van Douwen, G. K. Reed, A. W. Roscoe and I. J. Tree, Star covering properties, Topology Appl. 39 (1991), 71–103.
- [6] R. Engelking, General Topology, Heldermann, Berlin, 1989.
- [7] W. M. Fleischman, A new extension of countable compactness, Fund. Math. 67(1971), 1–7.
- [8] W. Hurewicz, Über eine Verallgemeinerung des Borelschen Theorems, Math. Z. 24(1925), 401–421.
- [9] W. Hurewicz, Über Folgen stetiger Funktionen, Fund. Math. 8 (1927), 193–204.
- [10] Lj. D. R. Kocinac, Selected results on selection principles, in: Proceedings of the 3rd Seminar on Geometry and Topology, Sh. Rezapour (ed.), Tabriz, 2004, 71–104.
- [11] M. V. Matveev, A survey on star-covering properties, Topology Atlas, preprint no.330, 1998.
- [12] Y.-K. Song, On countable star-covering spaces, Appl. Gen. Topology 8 (2007), 249–258.
- [13] R. C. Walker, The Stone–Cech Compactification, Springer, Berlin, 1974.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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