Diffeological gyrogroups

This work is intended to probe the connections between the diffeology and gyrogroup by introducing the notion of diffeological gyrogroup and proceeding with the study of some basic facts about it. The theory is developed by the study of smooth action of a diffeological gyrogroup.

Keywords:

diffeology , gyrogroups , diffeological gyrogroups , action of diffeological gyrogroups