1 citations · 1 across the 3 of their papers we have counts for
4 papers
Regular Sublattices, O Closed Ideals and Dedekind MacNeille Completions
Kevin Abela, Emmanuel Chetcuti
We study regular sublattices of lattices that satisfy the Join-Infinite Distributive Law (JID) under Dedekind MacNeille completion. Using order convergence, we identify the lattice…
Unbounded order convergence on infinitely distributive lattices
Abela Kevin, Chetcuti Emmanuel
We study uO convergence on infinitely distributive lattices, extending key properties known from Riesz spaces. We show that order continuity of uO convergence characterizes infinit…
Lattice uniformities inducing unbounded convergence
Kevin Abela, Emmanuel Chetcuti, Hans Weber
A net in a locally solid Riesz space is said to be unbounded -convergent to if for all $u\in X…
On different modes of order convergence and some applications
Kevin Abela, Emmanuel Chetcuti, Hans Weber
Different notions for order convergence have been considered by various authors. Associated to every notion of order convergence corresponds a topology, defined by taking as the cl…