Double Clubs

Mathematics – Category Theory

Scientific paper

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45 pages with XYpic diagrams

Scientific paper

We develop a theory of double clubs which extends Kelly's theory of clubs to
the pseudo double categories of Pare and Grandis. We then show that the club
for symmetric strict monoidal categories on Cat extends to a `double club' on
the pseudo double category of `categories, functors, profunctors and
transformations'.

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