On monotonically T2-spaces and monotonically normal spaces

Abstract EN

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.