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arXiv · 2511.15264

Multiple categories of general quintets

Marco Grandis·Robert Paré
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Abstract

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; the transversal arrows are their strict multiple functors while the arrows in a positive direction are multiple functors of a `mixed laxity', varying from the lax ones (in direction 1) to the colax ones (in direction \infty).

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Marco Grandis, Robert Paré. 2025-11-19. Multiple categories of general quintets. https://arxiv.org/abs/2511.15264

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