Resolvable Spaces and Compactifications ()
Abstract
This paper deals with spaces such that their compactification is a resolvable space. A characterization of space such that its one point compactification (resp. Wallman compactification) is a resolvable space is given.
Share and Cite:
M. Al-Hajri and K. Belaid, "Resolvable Spaces and Compactifications,"
Advances in Pure Mathematics, Vol. 3 No. 3, 2013, pp. 365-367. doi:
10.4236/apm.2013.33052.
Conflicts of Interest
The authors declare no conflicts of interest.
References
[1]
|
E. Hewitt, “A Problem of Set Theoretic Topology,” Duke Mathematical Journal, Vol. 10, No. 2, 1943, pp. 309-333.
doi:10.1215/S0012-7094-43-01029-4
|
[2]
|
K. Belaid, L. Dridi and O. Echi, “Submaximal and Door Compactifications,” Topology and Its Applications, Vol. 158, No. 15, 2011, pp. 1969-1975.
doi:10.1016/j.topol.2011.06.039
|
[3]
|
J. L. Kelly, “General Topology,” D. Van. Nostrand Company, Inc., Princeton, 1955.
|
[4]
|
H. Wallman, “Lattices and Topological Spaces,” Annals of Mathematics, Vol. 39, No. 1, 1938, pp. 112-126.
doi:10.2307/1968717
|
[5]
|
M. M. Kovar, “Which Topological Spaces Have a Weak Reflection in Compact Spaces?” Commentationes Mathematicae Universitatis Carolinae, Vol. 36, No. 3, 1995, pp. 529-536.
|
[6]
|
H. Herrlich, “Compact T0-Spaces and T0-Compactifications,” Applied Categorical Structures, Vol. 1, No. 1, 1993, pp. 111-132. doi:10.1007/BF00872990
|