Document Type : Original Manuscript


1 Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O. Box 7713936417, Rafsanjan, Iran.

2 Department of Mathematics, Farhangian University, Yasoj, Iran.

3 Department of Mathematics, Shahed University, Tehran, Iran.


‎‎The purpose of this paper is to introduce new methods for constructing generalized groups, generalized topological groups and top spaces. We study some properties of these structures and present some relative concrete examples. Moreover, we obtain generalized groups by using of Hilbert spaces and tangent spaces of Lie groups, separately.