ACTIONS AND COVERINGS OF TOPOLOGICAL GROUPOIDS

Abstract

Let R be a topological group-groupoid.We define a categoryT GGdCov(R) of coverings of R and a category T GGdOp(R) of actions of R ontopological groups and then prove the equivalence of these categories. Further,if R is topological ring-groupoid then we define a category T RGdCov(R) ofcoverings of R and a category T RGdOp(R) of actions of R on topological ringsand then prove the equivalence of these categories