Upper topological generalized groups (Q2881419)

A \textit{generalized group} is defined as a nonempty set \(G\) admitting an operation satisfying the associativity condition such that for each \(x\in G\) there exist a unique element \(e(x)\) and \(y\in G\) with \(te(x)=e(x)x=x\) and \(xy=yx=e(x)\). A \textit{topological generalized group} is a Hausdorff generalized group such that the group operation and the inverse element map is continuous. A topological generalized group \(G\) is called a \textit{normal topological generalized group} if \(e(xy)=e(x).e(y)\) for all \(x,y\in G\). In this paper some results on covering groups of topological groups are proved in generalized topological groups.