CONNECTING T AND LATTICE-VALUED CONVERGENCES

\top-filters can be used to define \top-convergence spaces in the lattice-valued context. Connections between \top-convergence spaces and lattice-valued convergence spaces are given. Regularity of a \top-convergence space has recently been defined and studied by Fang and Yue. An equivalent characterization is given in the present work in terms of convergence of closures of \top-filters.  Moreover, a  compactification of a \top-convergence space is constructed whenever L is a complete Boolean algebra.

کلیدواژه ها:

Lattice-valued convergence ، top-convergence spaces ، Regularity ، Compactification ، Topological