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

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    steinke_report_no84_1993.pdf (820.5Kb)
    Author
    Steinke, Günter F.
    Date
    1993
    Permanent Link
    http://hdl.handle.net/10092/11398
    Degree Grantor
    University of Canterbury
    Degree Name
    Research report

    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.

    Subjects
    Field of Research::01 - Mathematical Sciences
    Collections
    • Engineering: Reports [695]
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    https://canterbury.libguides.com/rights/theses

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