fc-multicategories

dc.creatorLeinster, Tom
dc.date1999-02-28
dc.date.accessioned2026-07-07T05:28:03Z
dc.date.available2026-07-07T05:28:03Z
dc.descriptionfc-multicategories are a very general kind of two-dimensional structure, encompassing bicategories, monoidal categories, double categories and ordinary multicategories. We define them and explain how they provide a natural setting for two familiar categorical ideas. The first is the bimodules construction, traditionally carried out on suitably cocomplete bicategories but perhaps more naturally carried out on fc-multicategories. The second is enrichment: there is a theory of categories enriched in an fc-multicategory, extending the usual theory of enrichment in a monoidal category. We finish by indicating how this work is just the simplest case of a much larger phenomenon.
dc.descriptionNotes for talk at PSSL 70; 8 pages
dc.identifierhttps://arxiv.org/abs/math/9903004
dc.identifierhttp://arxiv.org/abs/math/9903004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78158
dc.subjectCategory Theory
dc.titlefc-multicategories
dc.typetext

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