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Topological Antiregular Quadrangles

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Abstract

In a topological antiregular quadrangle whose point rows and line pencils are manifolds, the set of points collinear with three mutually noncollinear points depends continuously on the given points. This implies that the derivation of such a quadrangle yields a topological Laguerre plane.

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Correspondence to Andreas E. Schroth.

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Schroth, A.E. Topological Antiregular Quadrangles. Results. Math. 24, 180–189 (1993). https://doi.org/10.1007/BF03322328

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