On the existence of topological ovals in flat projective planes

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pllster_rosehr_steinke_report_no140_1996.pdf (937.29 KB)
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http://hdl.handle.net/10092/11282
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University of Canterbury. Dept. of Mathematics
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1996
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Polster, B.
Rosehr, N.
Steinke, G.F.
Abstract

We show that every flat projective plane contains topological ovals. This is achieved by completing certain closed partial ovals, the so-called quasi-ovals, to topological ovals.

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Fields of Research::49 - Mathematical sciences::4904 - Pure mathematics::490412 - Topology
Fields of Research::49 - Mathematical sciences::4904 - Pure mathematics::490402 - Algebraic and differential geometry
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Copyright B. Polster
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