Università degli Studi di Genova


An introduction to multiple categories (On weak and lax multiple categories, I)

Extending double and triple categories, we introduce here infinite dimensional weak multiple categories. We also consider a partially lax, 'chiral' form with directed interchanges and a laxer form already studied in two previous papers for the 3-dimensional case, under the name of intercategory. In these settings we also begin a study of tabulators, the basic higher limits, that will be concluded in a sequel.

multiple category, double category, monoidal category, duoidal category, cubical sets


Pubblicato su: Cahiers de Topologie et Geometrie Differentielle Categoriques Vol. 57 (2016) Pag. 103-159