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Università degli Studi di Genova |
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Università degli Studi di Genova |
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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 ∞). Keywords: multiple category, double category, cubical set, quintet. MSC: 18  |