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arXiv · 1912.03505

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

Wei Yao·Yueli Yue·Bin Pang
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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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Wei Yao, Yueli Yue, Bin Pang. 2019-12-07. Algebraic representation of L-valued continuous lattices via the open filter monad. https://arxiv.org/abs/1912.03505

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