Title of article :
On Monotonically T2-spaces and Monotonically normal spaces
Author/Authors :
Ali, Radhi I.M. Baghdad University - College of Science for Women - Department of mathematics, Iraq , Hussein, Jalal Hatem Baghdad University - College of Science for Women - Department of Mathematics, Iraq
Abstract :
In this paper we show that if Xi is monotonically T2-space then each Xi is monotonically T2-space, too. Moreover, we show that if Xi is monotonically normal space then each Xi is monotonically normal space, too. Among these results we give a new proof to show that the monotonically T2- space property and monotonically normal space property are hereditary property and topologically property and give an example of T2-space but not monotonically T2-space.
Keywords :
topological space , continuous function , monotonically T2 , spaus , monotonically normal space.
Journal title :
Baghdad Science Journal
Journal title :
Baghdad Science Journal
