A four for the price of one duality principle for distributive spaces
classification
🧮 math.GN
math.CT
keywords
spacescategorydistributivetopologicalcertaincharacterisecompletionconsider
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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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