Abstract
In this article, we consider and study the order topology in Minkowski spacetime of the special theory of relativity , i.e. the finest locally convex topology τ on spacetime for which every order bounded subset of spacetime is τ -bounded. This order topology that is introduced into spacetime as an ordered vector space proves to be Hausdorff and differs from Zeeman's order topology. Applying the order topology we obtain new results by applying and extending previous results on the mean ergodic theorem and functional differential evolution equations in the Minkowski space .
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