A four for the price of one duality principle for distributive spaces
classification
🧮 math.GN
math.CT
keywords
spacescategorydistributivetopologicalcertaincharacterisecompletionconsider
pith:46LGPHB7 Add to your LaTeX paper
What is a Pith Number?\usepackage{pith}
\pithnumber{46LGPHB7}
Prints a linked pith:46LGPHB7 badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more
read the original abstract
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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.