Abstract:

In this work, we introduce new kinds of topological groupoid which are source proper  groupoid , submersive  groupoid , and use them to construct a new kind of groupoid space  which are source  proper group space and  submersive group space . The main objective of this paper is to find new relationships between these types written as proposition and can be used in the field of algebraic topology.

Keywords:  groupoid, topological space, topological groupoid, source proper groupoid.