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Recycling circle planes

Published online by Cambridge University Press:  17 April 2009

Burkard Polster
Affiliation:
Department of Pure MathematicsThe University of AdelaideAdelaide SA 5005Australia e-mail: [email protected]
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Abstract

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The main aim of this paper is to introduce new ways of constructing flat projective planes from spherical circle planes and cylinder circle planes. We shall also touch upon topics that have natural connections with our constructions, like the construction of spreads of pseudolines from flat projective planes, the extendability of partial spherical circle planes to spherical circle planes and giving examples of sets of 2-arcs that determine flat projective planes and ℝ2-planes.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1996

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