Operads in Higher-Dimensional Category Theory

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dc.creatorLeinster, Tom
dc.date2000-11-16
dc.date.accessioned2026-07-07T04:38:36Z
dc.date.available2026-07-07T04:38:36Z
dc.descriptionThe purpose of this dissertation is to set up a theory of generalized operads and multicategories, and to use it as a language in which to propose a definition of weak n-category. Included is a full explanation of why the proposed definition of n-category is a reasonable one, and of what happens when n=2. Generalized operads and multicategories play other parts in higher-dimensional algebra too, some of which are outlined here: for instance, they can be used to simplify the opetopic approach to n-categories expounded by Baez, Dolan and others, and are a natural language in which to discuss enrichment of categorical structures.
dc.descriptionviii + 127 pages
dc.identifierhttps://arxiv.org/abs/math/0011106
dc.identifierhttp://arxiv.org/abs/math/0011106
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60347
dc.subjectCategory Theory
dc.subjectAlgebraic Topology
dc.subjectQuantum Algebra
dc.titleOperads in Higher-Dimensional Category Theory
dc.typetext

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