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Completion of topological incidence groups

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Abstract

In this paper it is shown that under certain conditions on the coordinating nearfield, each metrizable finite dimensional desarguesian topological incidence group has a unique completion. The analogous problem for topological projective planes has been studied by Breitsprecher [2].

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Authors and Affiliations

  1. Institut für Mathematik, Technische Universität Hannover, 3000, Welfengarten 1, Hannover

    Jürgen Misfeld

  2. Department of Mathematics, University of Florida, 205 Walker Hall, 32601, Gainesville, Florida

    Kermit Sigmon

Authors
  1. Jürgen Misfeld
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  2. Kermit Sigmon
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Additional information

The work of the second author was supported by a grant of the Deutsche Forschungsgemeinschaft.

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Misfeld, J., Sigmon, K. Completion of topological incidence groups. J Geom 11, 150–160 (1978). https://doi.org/10.1007/BF01917205

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  • DOI: https://doi.org/10.1007/BF01917205

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