On Monotonically T2-spaces and Monotonicallynormal spaces

Authors

Radhi I.M. Ali
Jalal Hatem Hussein

Abstract

In this paper we show that if II Xi is monotonically T2-space then each Xi is monotonically T2-space, too. Moreover, we show that if II 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.

Article Type

Article

How to Cite this Article

Ali, Radhi I.M. and Hussein, Jalal Hatem (2009) "On Monotonically T2-spaces and Monotonicallynormal spaces," Baghdad Science Journal: Vol. 6: Iss. 1, Article 21.
DOI: https://doi.org/10.21123/bsj.2009.6.1.209-213