1 citations · 1 across the 4 of their papers we have counts for
5 papers
Multiple categories of general quintets
Marco Grandis, Robert Paré
We construct various multiple categories, based on generalised Ehresmann quintets. The main construction is a multiple category whose objects are all the `lax' multiple categories;…
Taut functors and the difference operator
Robert Paré
We establish a calculus of differences for taut endofunctors of the category of sets, analogous to the classical calculus of finite differences for real valued functions. We study…
Retrocells
Robert Paré
The notion of retrocell in a double category with companions is introduced and its basic properties established. Explicit descriptions in some of the usual double categories are gi…
Intercategories: A framework for three-dimensional category theory
Robert Paré, Marco Grandis
We show how the notion of intercategory encompasses a wide variety of three-dimensional structures from the literature, notably duoidal categories, monoidal double categories, cubi…
Intercategories
Marco Grandis, Robert Paré
We introduce a 3-dimensional categorical structure which we call intercategory. This is a kind of weak triple category with three kinds of arrows, three kinds of 2-dimensional cell…