논문KCI 등재
Some remarks on centered-Lindelöf spaces
대한수학회 (The Korean Mathematical Society)|2009.04|대한수학회논문집 (Communications of the KMS)|제24권 제2호|pp. 277-280
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In this paper, we prove the following two statements: (1) There exists a Hausdorff locally Lindelöf centered-Lindelöf space that is not star-Lindelöf. (2) There exists a T_1 locally compact centered-Lindelöff space that is not star-Lindelöf. The two statements give a partial answer to Bonanzinga and Matveev [2, Question 1].
Abstract
In this paper, we prove the following two statements: (1) There exists a Hausdorff locally Lindelöf centered-Lindelöf space that is not star-Lindelöf. (2) There exists a T_1 locally compact centered-Lindelöff space that is not star-Lindelöf. The two statements give a partial answer to Bonanzinga and Matveev [2, Question 1].
참고문헌 (8)
- M. Bonanzinga, "Star-Lindelöf and absolutely star-Lindelöf spaces", Questions Answers Gen. Topo-logy., 16, pp.79~104 (1998)
- M. Bonanzinga, "Centered-Lindelöfness versus star-Lindelöfness", Comment. Math. Univ. Carolinae., 41(1), pp.111~122 (2000)
- M. Bonanzinga, "Closed subspaces of star-Lindelöf and related spaces", East-West J. Math, 2(1), pp.171~179 (2002)
- M. Bonanzinga, "Products of star-Lindelöf and related spaces", Houston J. Math., 27, pp.45~57 (2001)
- E. K. van Douwen, "Star covering properties", Topology Appl., 39, pp.71~103 (1991)
- E. Engelking, "General Topology, Revised and Completed Edition" (1989), Heldermann Verlag
- A Survey on Star-Covering Properties, "M. V. Matveev", Topological Atlas, ~, pp.preprint No. 330 (1998)
- Y.-K. Song, "Closed subsets of absolutely star-Lindel¨of spaces II", 329-334., 42(2), pp.329~334 (2003)
관련 논문AI추천
Remarks on centered-Lindel{\＂o}f spacesYan-Kui Song대한수학회 · 대한수학회논문집2006 · 제21권 제3호REMARKS ON CS-STARCOMPACT SPACESYan-Kui Song대한수학회 · 대한수학회논문집2012 · 제27권 제1호Remarks on absolutely star-Lindelof spacesYan-Kui Song대한수학회 · 대한수학회보2004 · 제41권 제2호Minimal Basically Disconnected Covers of P'-spaces김창일, 정갑헌영남수학회 · East Asian Mathematical Journal2014 · 제30권 제1호Remarks on $\mathcal K$-starcompact spacesYan-Kui Song대한수학회 · 대한수학회논문집2007 · 제22권 제4호AN EXTENSION WHICH IS A WEAKLY LINDELÖFF SPACE김창일, 윤용식한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제3호
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