General Operads and Multicategories

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dc.creatorLeinster, Tom
dc.date1998-10-08
dc.date.accessioned2026-07-07T05:26:22Z
dc.date.available2026-07-07T05:26:22Z
dc.descriptionNotions of `operad' and `multicategory' abound. This work provides a single framework in which many of these various notions can be expressed. Explicitly: given a monad * on a category S, we define the term `(S,*)-multicategory', subject to certain conditions on S and *. Different choices of S and * give some of the existing notions of operad and multicategory. We then describe the `algebras' for an (S,*)-multicategory and, finally, present a tentative selection of further developments. Our approach makes possible concise descriptions of Baez and Dolan's opetopes and Batanin's operads; both of these are included.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/math/9810053
dc.identifierhttp://arxiv.org/abs/math/9810053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77524
dc.subjectCategory Theory
dc.subjectAlgebraic Topology
dc.subjectQuantum Algebra
dc.titleGeneral Operads and Multicategories
dc.typetext

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