Abstract
In this paper, we introduce the notions of locally minimal open (resp. locally minimal closed) and s-mean open (resp. s-mean closed) sets at a certain point in a topological space and investigate some properties of such sets. We see that a minimal open (resp. minimal closed) set is locally minimal open (resp. locally minimal closed) at each of its points and the notion of s-mean open (respectively, s-mean closed) sets is stronger than the notion of mean open (respectively, mean closed) sets.
Cuvinte cheie
minimal open set
minimal closed set
mean open set
mean closed set
locally minimal open set
locally minimal closed set
s-mean open set
s-mean closed set