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math.GN2007
On embeddings of proper and equicontinuous actions in zero-dimensional compactifications
Antonios Manoussos, Polychronis Strantzalos
We provide a tool for studying properly discontinuous actions of non-compact groups on locally compact, connected and paracompact spaces, by embedding such an action in a suitable…
math.GN2000
The role of connectedness in the structure and the action of group of isometries of locally compact metric spaces
Antonios Manoussos, Polychronis Strantzalos
By proving that, if the quotient space S(X) of the connected components of the locally compact metric space (X,d) is compact, then the full group I(X,d) of isometries of X is close…