Absolutely strongly star-Hurewicz spaces

• Autorzy: Yan-Kui Song
• Języki publikacji: EN

Abstrakty

EN

A space X is absolutely strongly star-Hurewicz if for each sequence (Un :n ∈ℕ/ of open covers of X and each dense subset D of X, there exists a sequence (Fn :n ∈ℕ/ of finite subsets of D such that for each x ∈X, x ∈St(Fn; Un) for all but finitely many n. In this paper, we investigate the relationships between absolutely strongly star-Hurewicz spaces and related spaces, and also study topological properties of absolutely strongly star-Hurewicz spaces.

Słowa kluczowe

EN

Selection principles; Starcompact; acc; Strongly star-Menger; Absolutely strongly star-Menger; Strongly star-Hurewicz; Absolutely strongly star-Hurewicz; Alexandroff duplicate

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

wydano

2015-01-01

otrzymano

2013-11-02

zaakceptowano

2014-07-13

online

2014-10-09

Twórcy

autor

Yan-Kui Song

• Institute of Mathematics, School of Mathematical Science, Nanjing Normal University, Nanjing 210023, P.R. China

Bibliografia

• [1] Bonanzinga M., Preservation and reflection of properties acc and hacc, Comment. Math. Univ. Carolinae., 1996, 37(1), 147-153
• [2] Bonanzinga M., Cammaroto F., Kočinac Lj.D.R., Star-Hurewicz and related spaces, Applied General Topology., 2004, 5, 79-89
• [3] Bonanzinga M., Cammaroto F., Kočinac Lj.D.R., Matveev M.V., On weaker forms of Menger, Rothberger and Hurewicz properties, Mat. Vesnik., 2009, 61, 13-23[WoS]
• [4] Bonanzinga M., Matveev M.V., Some covering properties for ψ-spaces, Mat. Vesnik., 2009, 61, 3-11
• [5] Caserta A., Maio G. Di., Kočinac Lj.D.R., Versions of properties (a) and (pp), Topology Appl., 2011, 158, 1630-1638[WoS]
• [6] van Douwen E.K., Reed G.K., Roscoe A.W., Tree I.J., Star covering properties, Topology Appl., 1991, 39, 71-103[WoS]
• [7] van Douwen E.K., The integers and topology, in: Handbook of Set-theoretic Topology, Ed: K. Kunen and J. E. Vaughan, North- Holland, Amsterdam, 1984, 111-167
• [8] Engelking E., General Topology, Revised and completed edition, Heldermann Verlag, Berlin, 1989,
• [9] Fleischman W.M., A new extension of countable compactness, Fund. Math., 1971, 67, 1-7
• [10] Gillman L., Jerison M., Rings of Continuous Functions, Van Nostrand, New York, 1960
• [11] Kočinac Lj.D.R., Star-Menger and related spaces, Publ. Math. Debrecen., 1999, 55, 421-431
• [12] Kočinac Lj.D.R., Star-Menger and related spaces II, Filomat (Ni˘s)., 1999, 13, 129-140
• [13] Matveev M.V., A survey on star-covering properties, Topology Atlas, preprint No 330, 1998
• [14] Matveev M.V., Absolutely countably compact spaces, Topology Appl., 1994, 59, 61-92
• [15] Song Y.-K., On countable star-covering properties, Applied General Topology., 2007, 8(2), 249-258
• [16] Song Y.-K., Absolutely strongly star-Menger spaces, Toplogy Appl., 2013, 160, 475-481
• [17] Shi .W-X., Song Y.-K., Gao Y.-Z., Spaces embeddable as regular closed subsets into acc spaces and (a)-spaces, Topology Appl., 2005, 150, 19-31
• [18] Vaughan J.E., Absolutely countably compactness and property (a), Talk at 1996 Praha Symposium on General Topology

Identyfikatory

DOI

10.1515/math-2015-0004