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

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Author
Steinke, Günter F.
Date
1993Permanent Link
http://hdl.handle.net/10092/11398Degree Grantor
University of CanterburyDegree Name
Research reportIn 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.
Subjects
Field of Research::01 - Mathematical SciencesCollections
- Engineering: Reports [695]