Some Variants of Normal Čech Closure Spaces via Canonically Closed Sets

Abstract

New generalizations of normality in Čech closure space such as π-normal, weakly π-normal and κ-normal are introduced and studied using canonically closed sets. It is observed that the class of κ-normal spaces contains both the classes of weakly π-normal and almost normal Čech closure spaces.

Keywords

• closure space
• canonically closed
• weakly normal
• almost normal
• <i>π</i>-normal
• weakly <i>π</i>-normal