Annals of Communications in Mathematics

AbstractAim of this paper, the new grill notions are studied using grill topological spaces and by using some defined sets where the sets Gt-set and GR-set are defined. Properties of this set and some relationships are investigated and deal with a grill topological spaces.

AbstractAim of this article, Rajasekaran [11] introduced strongly pre-I-open sets and in nano topological spaces. The relationships of strongly pre-nI-open sets with various other nano RI -set and nano I-locally closed sets are investigated.

AbstractWe introduce the notions of nano L*-perfect, nano R*-perfect, and nano C*-perfect sets in ideal nano spaces and study their properties. We obtained a characterization for compatible ideals via nano R*-perfect sets and and investigate further their important properties

AbstractIn this article focuss on nano Ⓢ-closed sets and nano Ⓢs-closed sets are introduce and study. Also, we introduce and study nano Ⓢ-continuous functions and nano Ⓢs-continuous functions. Furthermore, we introduce the notions of nano topological spaces called nano Ⓢ-T 1/2 space and nano Ⓢ-Ts space.