On-Open Sets in Topology

Ankit Gupta, Ratna Sarma
unpublished
Minimal open sets or-open sets for a topology are defined and investigated. They are found to form an Alexandroff space on. Decompositions of open sets and continuity are provided using-open sets.Also-regularity and-normalityare defined and studied. While Hausdorffness implies-regularity, the product of normal spaces are found to be-normal. 2010 Mathematics Subject Classification: Primary 54A05, 54A10, 54C08.
fatcat:ccpl625vd5exhe2b76hk2wwrom