Iterated starcompact topological spaces

Authors

  • Junhui Kim Ehime University

DOI:

https://doi.org/10.4995/agt.2004.1991

Keywords:

Countably compact, n-starcompact, (n, k)-starcompact, Pseudocompact

Abstract

Let P be a topological property. A space X is said to be k-P-starcompact if for every open cover U of X, there is a subspace A C X with P such that stk(A,U) = X. In this paper, we consider k-P- starcompactness for some special properties P and discuss relationships among them.

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Author Biography

Junhui Kim, Ehime University

Department of Mathematical Science

References

E. van Douwen, G. Reed, A. Roscoe and I. Tree, Star covering properties, Topology Appl., 39 (1991), 71-103. http://dx.doi.org/10.1016/0166-8641(91)90077-Y

R. Engelking, General Topology, Revised and completed edition, Heldermann Verlag, Berlin, 1989.

S. Ikenaga, Topological concepts between Lindelöf and Pseudo-Lindelöf, Research Reports of Nara National College of Technology, 26 (1990), 103-108.

S. Ikenaga and T. Tani, On a topological concept between countable compactness and pseudocompactness, Research Reports of Numazu Technical College, 15 (1980), 139-142.

M. Matveev, Closed embeddings into pseudocompact spaces, Mat. Zametki , 41 (1987), 377-394 (in Russian); English translation: Math. Notes 41 (1987), No. 3-4, 217–226.

M. Matveev, A survey on star covering properties, Topology Atlas, Preprint No. 330, 1998.

Yang-Kui Song, A study of star-covering properties in topological spaces, Ph.D Thesis, Shizuoka University, Japan, 2000.

I. Tree, Constructing regular 2-starcompact spaces that are not strongly 2-star-Lindelöf, Topology Appl., 47 (1992), 129-132. http://dx.doi.org/10.1016/0166-8641(92)90067-A

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How to Cite

[1]
J. Kim, “Iterated starcompact topological spaces”, Appl. Gen. Topol., vol. 5, no. 1, pp. 1–10, Apr. 2004.

Issue

Section

Regular Articles