Categorical Analysis

dc.creatorOziewicz, Zbigniew
dc.creatorCoutino, Guilleremo Arnulfo Vazquez
dc.date2001-01-12
dc.date.accessioned2026-07-07T04:39:39Z
dc.date.available2026-07-07T04:39:39Z
dc.descriptionWe propose the categorification of the algebraic analysis as the Leibniz 3-category given by generators and relations, including the Leibniz 3-cell relation. The Leibniz category offers the `most general' `(co-)derivation' 3-cell. We outline a program in which every 2-cell related to (or a type of) a Leibniz partial (co-)derivation 3-cell, is translated into an appropriate 2-cell related to the Cartan 3-cell, and vice versa. A model of a non-Leibniz 2-cell responsible for the stochastic calculus must be a ternary operation.
dc.description27 pages, many figures, AMSLaTeX, written in 1999 - still preliminary
dc.identifierhttps://arxiv.org/abs/math/0101115
dc.identifierhttp://arxiv.org/abs/math/0101115
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60752
dc.subjectCategory Theory
dc.subjectLogic
dc.subject18D99; 03B30; 16W25; 17B40; 18A25; 18C05; 28A15; Secondary 58A10; 58B30
dc.titleCategorical Analysis
dc.typetext

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