, Volume 259, Issue 2, pp 363-366
Date: 19 May 2005

Orthomodular Lattices Generated by Graphs of Functions

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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.

Communicated by M.B. Ruskai