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arXiv · 1908.01106

Completely distributive enriched categories are not always continuous

Hongliang Lai·Dexue Zhang
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Abstract

In contrast to the fact that every completely distributive lattice is necessarily continuous in the sense of Scott, it is shown that complete distributivity of a category enriched over the closed category obtained by endowing the unit interval with a continuous t-norm does not imply its continuity in general. Necessary and sufficient conditions for the implication are presented.

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Hongliang Lai, Dexue Zhang. 2019-08-03. Completely distributive enriched categories are not always continuous. https://arxiv.org/abs/1908.01106

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