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Nonexistence of disjoint compact Baer subplanes

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Abstract.

We show that a certain fibration associated with a Baer subplane of a compact connected projective plane does not admit a cross section. This implies that, in marked contrast to the finite case, two Baer subplanes cannot be disjoint.

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Authors and Affiliations

  1. Institut für Analysis, Technische Universität Braunschweig, Pockelsstraße 14, D-38106 Braunschweig, , , , , , DE

    Rainer Löwen

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  1. Rainer Löwen
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Received: 31.7.1998

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Löwen, R. Nonexistence of disjoint compact Baer subplanes. Arch. Math. 73, 235–240 (1999). https://doi.org/10.1007/s000130050033

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  • DOI: https://doi.org/10.1007/s000130050033

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