On Palais GENERALIZED PROPER C‐SPACE

A Palais generalized proper G-space is the main aim in this paper. We get the following results: (i) A Palais proper G-space is Palais generalized proper. (ii)A Palais generalized proper G-space is generalized Cartan with an example which shO.VS that the converse may not be true. Besides , we get many results on properties of this space