Algebraic representation of continuous lattices via the open filter monad, revisited
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 T0 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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