On Almost Cartan G-spaces

The main purpose of our work is to define and study a new G-space named almost Canan G-space. Pala is [ 1 ]gave the definition of Cartan Gs pace which we depend on in the new defin ition. We gave examples on the new definition and we discussed them. One of the most beautiful examples is the suspension of Cartan G-space X (quotient space of X x I ) which is almost Cartan G-space but not Ca11an G-space. We were had to prove that the disjoint topological sum of two Ca11an G-spaces is also Cartan to use it later. Then we also study the equivariant map and the finite product of almost Ca11an G-spaces