On compactness of lattices.
On coverings in the lattice of all group topologies of arbitrary Abelian groups.
On Jónsson's theorem
A proof of Jonsson's theorem inspired by considering a natural topology on algebraic lattices is given.
On lattice-topological properties of general Wallman spaces.
On normal and strongly normal lattices.
On some notions related to compactness for locales
On the lattice of convexly compatible topologies on a partially ordered set
On topologies convexly compatible with the ordering
On valuation in semilattices
Order convergence and compactness
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.