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arXiv · 1912.11988

Algebraic representation of continuous lattices via the open filter monad, revisited

Wei Yao·Yueli Yue
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Abstract

In [A. Day, Filter monads, continuous lattices and closure systems, Can. J. Math. 27 (1975) 50--59], Day showed that continuous lattices are precisely the algebras of the open filter monad over the category of $T_0$ spaces. The aim of this paper is to give a clean and clear version of the whole process of Day's approach.

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Wei Yao, Yueli Yue. 2019-12-16. Algebraic representation of continuous lattices via the open filter monad, revisited. https://arxiv.org/abs/1912.11988

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