Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 48, No. 2, pp. 443-467 (2007)
Virtual points and separating sets in spherical circle planes
Burkard Polster and Günter F. SteinkeSchool of Mathematical Sciences, Monash University, Vic 3800, Australia, e-mail: firstname.lastname@example.org; Department of Mathematics, University of Canterbury, Christchurch, New Zealand, G.Steinke@math.canterbury.ac.nz
Abstract: In this paper we introduce and investigate virtual points of spherical circle planes and use them to construct several new types of separating sets of circles in such geometries. Two spherical circle planes combine very naturally into another spherical circle plane if they share such a separating set of circles.
Keywords: spherical circle planes, flat Möbius planes, separating sets, virtual points
Classification (MSC2000): 51B10, 51H15
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Electronic version published on: 7 Sep 2007. This page was last modified: 28 Jun 2010.