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