REMARKS ON CS-STARCOMPACT SPACES

Title & Authors
REMARKS ON CS-STARCOMPACT SPACES
Song, Yan-Kui;

Abstract
A space X is cs-starcompact if for every open cover $\small{\mathcal{U}}$ of X, there exists a convergent sequence S of X such that St(S, $\small{\mathcal{U}}$)
Keywords
compact;countably compact;cs-starcompact;
Language
English
Cited by
References
1.
M. Bonanzinga and M. V. Matveev, Closed subspaces of star-Lindelof and related spaces, East-West J. Math. 2 (2000), no. 2, 171-179.

2.
M. Bonanzinga and M. V. Matveev, Products of star-Lindelof and related spaces, Houston J. Math. 27 (2001), no. 1, 45-57.

3.
E. K. van Douwn, G. M. Reed, A. W. Roscoe, and I. J. Tree, Star covering properties, Topology Appl. 39 (1991), no. 1, 71-103.

4.
R. Engelking, General Topology, Revised and completed edition, Heldermann Verlag, Berlin, 1989.

5.
W. M. Fleischman, A new extension of countable compactness, Fund. Math. 67 (1970), 1-7.

6.
M. V. Matveev, A survey on star-covering properties, Topological Atlas, No. 330, 1998.

7.
M. V. Matveev, How weak is weak extent?, Topology Appl. 119 (2002), no. 2, 229-232.

8.
J. van Mill, V. V. Tkachuk, and R. G Wilson, Classes defined by stars and neighbourhood assignments, Topology Appl. 154 (2007), no. 10, 2127-2134.

9.
Y.-K. Song, On K-starcompact spaces, Bull. Malays. Math. Sci. Soc. (2) 30 (2007), no. 1, 59-64.

10.
Y.-K. Song, On countable K-covering properties, Appl. Gen. Topol. 8 (2007), no. 2, 249-258.