Coherence, Homotopy and 2-Theories

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dc.creatorYanofsky, Noson S.
dc.date2000-07-06
dc.date.accessioned2026-07-07T04:36:16Z
dc.date.available2026-07-07T04:36:16Z
dc.description2-Theories are a canonical way of describing categories with extra structure. 2-theory-morphisms are used when discussing how one structure can be replaced with another structure. This is central to categorical coherence theory. We place a Quillen model category structure on the category of 2-theories and 2-theory-morphisms where the weak equivalences are biequivalences of 2-theories. A biequivalence of 2-theories (Morita equivalence) induces and is induced by a biequivalence of 2-categories of algebras. This model category structure allows one to talk of the homotopy of 2-theories and discuss the universal properties of coherence.
dc.description32 pages; XY-Pic
dc.identifierhttps://arxiv.org/abs/math/0007033
dc.identifierhttp://arxiv.org/abs/math/0007033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59534
dc.subjectCategory Theory
dc.subjectQuantum Algebra
dc.subject18D10; 18C10; 55U35
dc.titleCoherence, Homotopy and 2-Theories
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