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Orthomodular Lattices Generated by Graphs of Functions

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Abstract

In a subset where ℝ is the real line and is an arbitrary topological space, an orthogonality relation is constructed from a family of graphs of continuous functions from connected subsets of ℝ to . It is shown that under two conditions on this family a complete lattice of double orthoclosed sets is orthomodular.

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References

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Authors and Affiliations

  1. Institute of Theoretical Physics, University of Wrocław, pl. Maxa Borna 9, 50–204, Wrocław, Poland

    W. Cegła

  2. Institute of Mathematics, University of Economics, ul. Komandorska 118/120, 53–345, Wrocław, Poland

    J. Florek

Authors
  1. W. Cegła
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  2. J. Florek
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Correspondence to W. Cegła.

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Communicated by M.B. Ruskai

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Cegła, W., Florek, J. Orthomodular Lattices Generated by Graphs of Functions. Commun. Math. Phys. 259, 363–366 (2005). https://doi.org/10.1007/s00220-005-1362-1

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  • DOI: https://doi.org/10.1007/s00220-005-1362-1

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