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On K-Starcompact Spaces

Song, Y.K., (2007) On K-Starcompact Spaces. Bulletin of the Malaysian Mathematical Sciences Society, 30 (1). pp. 59-64. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v30n1/v30n1p8.pdf

Affiliations

Nanjing Normal University, Dept. of Mathematics

Abstract

A space $X$ is $\mathcal{K}-starcompact$ if for every open cover $\mathcal{U}$ of $X$, there exists a compact subset $mathcal{K}$ of $X$ such that $St(K,\mathcal{U})=X$, where $St(K, \mathcal{U})=\bigcup \{ U \in \mathcal{U}: U \cap K \neq \O \}$. In this paper, we investigate the relations between $\mathcal{K}$-starcompact spaces and other related spaces. We also study topological properties of $\mathcal{K}$-starcompact spaces.

2000 Mathematics Subject Classification: 54D20, 54B10, 54D55.

Item Type:Journal
Keywords:Countably compact, star-compact, K-starcompact, 1½-star-compact.
Subjects:Q Science, Computer Science
ID Code:1367

[1] E.K. van Douwen, G.M. Reed, A.W. Roscoe and I.J. Tree, Star covering properties, Topology Appl. 39(1991), 71—103.

[2] R. Engelking, General Topology, Revised and completed edition, Heldermann Verlag, 1989.

[3] W.M. Fleischman, A new extension of countable compactness, Fund. Math. 67(1971), 1-9.

[4] S. Ikenaga and T. Tani, On a topological concept between countable compactness and pseudocompactness, Research Reports of Numazu Technical College 26(1990), 139-142.

[5] M.V. Matveev, A survey on star covering properties, Topology Atlas preprint no. 330, 1998.

[6] S. Mrówka, On completely regular spaces, Fund. Math. 41(1954), 105-106.

[7] Song, Y.K. Countable star-covering properties, General and Geometric Topology 1126(2000), 79—87.

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