Title of article :
Modification of H(Ө)-Open Sets on Hereditary Generalized Topological Spaces
Author/Authors :
karabiyik, umit necmettin erbakan university, meram campus - faculty of science - department of mathematics and computer sciences, turkey , kaymakci, aynur keskin selcuk university - faculty of sciences - department of mathematics, turkey
Abstract :
We introduce the H(Ө)-open sets modification given by a hereditary class and a generalized topology ^ and investigate some properties and characterizations. With the help of H(9)-open sets, we define new classes of sets H(Ө) — preopen, H(Ө) — semiopen, H(Ө) — α — open, H(Ө) — β— open in hereditary generalized topological spaces and study the relation between such sets and Ө — open sets on generalized topologies.
Keywords :
H(Ө) , open sets , H(Ө) — pre — open , H( Ө ) — semiopen , H(Ө ) — α — open , H( Ө ) — β— open , ideal , hereditary class , generalized topology
Journal title :
General Mathematics Notes
Journal title :
General Mathematics Notes
