A Study of Non-Euclidean s-Topology

Abstract EN

The present paper focuses on the characterization of compact sets of Minkowski space with a non-Euclidean s-topology which is defined in terms of Lorentz metric.

As an application of this study, it is proved that the 2-dimensional Minkowski space with s-topology is not simply connected.

Also, it is obtained that the n-dimensional Minkowski space with s-topology is separable, first countable, path-connected, nonregular, nonmetrizable, nonsecond countable, noncompact, and non-Lindelöf.