MATEMATICKI VESNIK, no.In Press, pp.1-8, 2023 (ESCI)
The aim of this paper is to present the notions of actions and coverings of
cat^1
-groupoids and to prove the natural equivalence between their categories. Moreover, in
this context, we characterize the quotient concept of cat^1
-groupoids. Finally we extend these
notions to cat^n
-groupoids which are groupoid version of cat^n
-groups.