A note of order convergence in complete lattices
Hans Dobbertin, Martin Erne, Darrell C. Kent · Rocky Mountain Journal of Mathematics · 1984
Order convergence is studied in a complete lattice L x which is the image of another complete lattice L under a complete homomorphism.The goal is to relate order convergence in L to that in L x .For instance, we show that order convergence in L x is pretopological if it is pretopological in L, while topological order convergence is in general not preserved under complete images.We conclude with some applications and examples.