Lyall Reid

Department of Mathematics, University of Central Florida, 4393 Andromeda Loop N, Orlando, FL 32816, United States

[ 1 ] - 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.  M...

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