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

Orthomodular Lattices Generated by Graphs of Functions

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

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.

Communicated by M.B. Ruskai