Faithful representations of groups by automorphisms of topologies. (Q1033764)

In the present article automorphisms of topologies are considered. They are applied to representations of groups. For this purpose inductor spaces are used. Relations of this approach with graph theory are described. Geometrical aspects including conic spaces, Minkowski space and Lorentz group are discussed. Representations of groups by automorphisms of \(I\)-spaces, topological spaces and graphs are considered. It would be interesting for subsequent investigations to establish relations of such a technique with the classical representation theory in linear spaces and with physical or any other applications.