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Euclidean geometry of orthogonality of subspaces

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Aequationes mathematicae Aims and scope Submit manuscript

Summary.

We prove that Euclidean geometry is interpretable in terms of orthogonality of its k-subspaces, and thus it can be formalized as a theory of such an orthogonality.

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Authors and Affiliations

  1. Institute of Mathematics, University of Białystok, ul. Akademicka 2, PL-15-267, Białystok, Poland

    Małgorzata Prażmowska, Krzysztof Prażmowski & Mariusz żynel

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  1. Małgorzata Prażmowska
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  2. Krzysztof Prażmowski
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  3. Mariusz żynel
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Corresponding author

Correspondence to Małgorzata Prażmowska.

Additional information

Manuscript received: February 8, 2007 and, in final form, June 18, 2007.

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Prażmowska, M., Prażmowski, K. & żynel, M. Euclidean geometry of orthogonality of subspaces. Aequ. math. 76, 151–167 (2008). https://doi.org/10.1007/s00010-007-2911-9

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  • DOI: https://doi.org/10.1007/s00010-007-2911-9

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