Orthomodular lattices and closure operations in ordered vector spaces
Jan Florek · Banach Center Publications · 2010
On a non-trivial partially ordered real vector space $(V, \leq)$ the orthogonality relation is defined by incomparability and $\zeta (V, \perp )$ is a complete lattice of double orthoclosed sets. We say that $ A\subseteq V$ is an orthogonal set when for