Abstract

A new class of generalized open sets in a topological space, called $b$-open sets, is introduced and studied. This class is contained in the class of semi-preopen sets and contains all semi-open sets and all preopen sets. It is proved that the class of $b$-open sets generates the same topology as the class of preopen sets.

Keywords: Topological space, generalized open sets, $\alpha$-set, $b$-open, semi-open, preopen, semi-preopen set.

MSC: 54A10

Pages:  59$-$64     

Volume  48 ,  Issue  1$-$2 ,  1996