A-topology for Minkowski space
Copyright policy )A-topology for Minkowski space
AbstractWe consider in this paper a topology (which we call the A-topology) on Minkowski space, the four-dimensional space–time continuum of special relativity and derive its group of homeomorphisms. We define the A-topology to be the finest topology on Minkowski space with respect to which the induced topology on time-like and light-like lines is one-dimensional Euclidean and the induced topology on space-like hyperplanes is three- dimensional Euclidean. It is then shown that the group of homeomorphisms of this topology is precisely the one generated by the inhomogeneous Lorentz group and the dilatations.
Special relativity, special relativity, Topological properties of groups of homeomorphisms or diffeomorphisms, space-like hyperplanes, time-like and light-like lines, inhomogeneous Lorentz group and dilatations, Global differential geometry of Finsler spaces and generalizations (areal metrics), Metric spaces, metrizability, topology for minkowski space, homeomorphism group, Noncompact Lie groups of transformations
Special relativity, special relativity, Topological properties of groups of homeomorphisms or diffeomorphisms, space-like hyperplanes, time-like and light-like lines, inhomogeneous Lorentz group and dilatations, Global differential geometry of Finsler spaces and generalizations (areal metrics), Metric spaces, metrizability, topology for minkowski space, homeomorphism group, Noncompact Lie groups of transformations
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