CAT(1)-POLYGROUPS AND PULLBACK CAT(1)-POLYGROUPS

In this paper, we give the notions of crossed polymodule and cat(1)-polygroup as a generalization of Loday's definition. Then, we define the pullback cat(1)-polygroup and we obtain some results in this respect. Specially, we prove that by a pullback cat(1)-polygroup we can obtain a cat(1)-group.