Algebraic representation of L-valued continuous lattices via the open filter monad

Abstract

With a complete Heyting algebra $L$ as the truth value table, we prove that the collections of open filters of stratified $L$-valued topological spaces form a monad. By means of $L$-Scott topology and the specialization $L$-order, we get that the algebras of open filter monad are precisely $L$-continuous lattices.

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References in corpus (1)

• Yoneda completeness and flat completeness of ordered fuzzy sets