CONNECTING > an‎d LATTICE-VALUED CONVERGENCES

>-lters can be used to dene >-convergence spaces in the latticevalued context. Connections between >-convergence spaces and lattice-valued convergence spaces are given. Regularity of a >-convergence space has recently been dened and studied by Fang and Yue. An equivalent characterization is given in the present work in terms of convergence of closures of >-lters. Moreover, a compactication of a >-convergence space is constructed whenever L is a complete Boolean algebra.