ON SEMI GENERALIZED CARTAN G-SPACE

A semi generalized Cartan G-space is the main aim in this paper.We get the following results: (i) A Cartan G-space is semi generalized Cartan. (ii) A semi Cartan G-space is semi generalized Cartan. (iii)We study this space (semi generalized Cartan G-space) and give enough examples and theorems about it, where we study its properties, subspace, and the equivariant homeomorphic image. (iv) We prove that a G-space X is semi generalized Cartan if X has a star thin semi generalized open set.