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Topological projective geometries

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Abstract

A concept of topological projective geometry is defined, which in contrast to the definitions given in [Mi] and [SÖ] does not contain any dimensional restrictions. Besides elementary properties it is shown in this paper that these topological geometries always possess a coordinatization over a uniquely determined topological division ring if the dimension is finite.

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Dedicated to Prof. Dr. Hanfried Lenz on his 70th birthday

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Szambien, H. Topological projective geometries. J Geom 26, 163–171 (1986). https://doi.org/10.1007/BF01227839

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  • DOI: https://doi.org/10.1007/BF01227839

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