On the continuity of the geometric operations in Minkowski planes with parallel classes S2

Abstract

In a Minkowski plane M with parallel classes S ² conditions are investigated that simplify the verification of the continuity of the geometric operations in order to show that M is a topological Minkowski plane. The point set S ² x S ² carries the (euclidean) product topology and circles are closed subsets thereof. It is then shown that continuity of joining suffices with respect to a suitable topology on the set of circles.