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SOME NECESSARY AND SUFFICIENT CONDITIONS FOR A FRÉCHET-URYSOHN SPACE TO BE SEQUENTIALLY COMPACT
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 Title & Authors
SOME NECESSARY AND SUFFICIENT CONDITIONS FOR A FRÉCHET-URYSOHN SPACE TO BE SEQUENTIALLY COMPACT
Hong, Woo-Chorl;
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 Abstract
In this paper, we introduce a new property of a topological space which is weaker than sequential compactness and give some necessary and sufficient conditions for a -Urysohn space with the property to be sequentially compact.
 Keywords
-Urysohn;sequentially compact;P-closed;minimal P and property ();
 Language
English
 Cited by
 References
1.
A. V. Arhangel'skii and L. S. Pontryagin(eds.), General Topology I, Encyclopaedia of Mathematical Sciences, vol. 17, Springer-Verlage, Berlin, 1990.

2.
A. Bella and I. V. Yaschenko, Embeddings first countable spaces with H-closed like properties, Topology Appl. 83 (1998), 53–61. crossref(new window)

3.
A. Dow and J. R. Porter, Embedding in R-closed spaces, Topology Appl. 15 (1983), 45–58. crossref(new window)

4.
G. A. Edgar, A cartesian closed category for topology, Topology Appl. 6 (1976), 65–72. crossref(new window)

5.
S. P. Franklin, Spaces in which sequences suffice II, Fund. Math. 61 (1967), 51–56.

6.
W. C. Hong, Generalized Fréchet-Urysohn spaces, J. Korean Math. Soc. 44 (2007), no. 2, 261–273. crossref(new window)

7.
J. R. Porter and R. G. Woods, Minimal extremally disconnected Hausdorff spaces, Topology Appl. 8 (1978), 9–26. crossref(new window)

8.
T. G. Ragharan and I. L. Reilly, On minimal Hausdorff first countable spaces, Indian J. Pure Appl. Math. 14 (1983), no. 2, 244–252.

9.
L. A. Steen and J. A. Seebach, Jr., Counterexamples in Topology, Springer-Verlag, Berlin, 1978.

10.
M. C. Vipera, Some results on sequentially compact extensions, Comment. Math. Univ. Carolin. 39 (1998), no. 4, 819–831.

11.
A. Wilansky, Topology for Analysis, Ginn and Company, 1970.

12.
S. Willard, General Topology, Addison-Wesley Publ. Company, 1970.