A powerdomain construction

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Abstract

We show that the forgetful functor from the category of nondeterministic algebraic lattices into the category of algebraic lattices has a left adjoint. The construction provides an analog of the Plotkin powerdomain entirely within the category of algebraic lattices. Similar results hold for the category of bounded complete algebraic posets and the category of continuous lattices.

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Hrbacek, K. (1988). A powerdomain construction. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 298 LNCS, pp. 200–212). Springer Verlag. https://doi.org/10.1007/3-540-19020-1_10

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