Order convergence and compactness
Order Maps And Unique Fixed Points In Complete Lattices
Ordres "C.A.C."
Orthomodular lattices and closure operations in ordered vector spaces
On a non-trivial partially ordered real vector space (V,≤) the orthogonality relation is defined by incomparability and ζ(V,⊥) is a complete lattice of double orthoclosed sets. We say that A ⊆ V is an orthogonal set when for all a,b ∈ A with a ≠ b, we have a ⊥ b. In our earlier papers we defined an integrally open ordered vector space and two closure operations A → D(A) and . It was proved that V is integrally open iff for every orthogonal set A ⊆ V. In this paper we generalize this result. We...
Outer measure analysis of topological lattice properties.
Outer measures and associated lattice properties.