Title of article :
COMPACTIFICATIONS AND F-SPECTRAL SPACES
Author/Authors :
ELMALI, CEREN SULTAN Erzurum Technic University - Faculty of Science - Department of Mathematics, Turkey , UGUR, TAMER Ataturk University - Faculty of Science - Department of Mathematics, Turkey
Abstract :
If X is T3, it is showed that the Fan-Gottesman compactification of X can be embedded into compactification (X*, k) of X obtaining by a combined approach of nets and open filters. By F-spectral, we mean a topological space X such that the Fan-Gottesman compactification of X is a spectral space. We give necessary and sufficient conditions on X in order to get F-spectral.
Keywords :
net , open filter , ultrafilter , normal base , Fan , Gottesman compactification , Wallman compactification , H , spectral space , F , spectral space.
Journal title :
Jordan Journal Of Mathematics and Statistics
Journal title :
Jordan Journal Of Mathematics and Statistics