Generalized open sets of Minkowski space

Abstract

We consider the Euclidean topology and s-topology on n-dimensional Minkowski space and investigate the interior and closure of the space cone and perforated space cone with respect to these topologies. In these regards, we determine that whether the space cone and perforated space cone are generalized open set or not. Moreover, we compare the generalized Euclidean topologies with the generalized s-topologies.

Keywords

• generalized topology
• Minkowski space