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.

中文翻译：

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Minkowski空间中的有序拓扑及其应用

在这篇文章中，我们考虑，并在闵可夫斯基的时空研究序拓扑狭义相对论，即最好的局部凸拓扑τ的时空针对时空的每一个订单有界子集τ -bounded。这种作为有序向量空间引入时空的有序拓扑被证明是Hausdorff ，与Zeeman的有序拓扑不同。应用有序拓扑，我们可以通过在Minkowski空间中的平均遍历定理和泛函微分演化方程上应用和扩展先前的结果来获得新的结果。