A four for the price of one duality principle for distributive spaces

Details A four for the price of one duality principle for distributive spaces A four for the price of one duality principle for distributive spaces

2011-02-13

arxiv.org/abs/1102.2605v1

Mathematics

General Topology

Scientific paper

In this paper we consider topological spaces as generalised orders and
characterise those spaces which satisfy a (suitably defined) topological
distributive law. Furthermore, we show that the category of these spaces is
dually equivalent to a certain category of frames by simply observing that both
sides represent the idempotents split completion of the same category.

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