Kähler categories
type: Item
instance of: scholarly article
zbMATH Open document ID: 1254.13026
author: R. A. G. Seely
author: Richard Blute
author: J. R. B. Cockett
author: Timothy Porter
publication date: 2012-09-07T00:00:00Z
Mathematics Subject Classification ID: 13N05
Mathematics Subject Classification ID: 18D10
zbMATH DE Number: 6079064
zbMATH Keywords: differential categories
zbMATH Keywords: Kähler category
zbMATH Keywords: Kähler differential
MaRDI profile type: Publication
title: Kähler categories
published in: Cahiers de Topologie et Géométrie Différentielle Catégoriques
review text: Differential categories were introduced by \textit{R. Blute, J. R. B. Cockett} and \textit{R. A.G. Seely} [ Math. Struct. Comput. Sci. 16, No. 6, 1049--1083 (2006; Zbl 1115.03092)].NEWLINENEWLINEThe authors work with a dual notion of a \textit{codifferential category}. Then, the new notion of a \textit{Kähler category} is introduced and its relations with Kähler differentials are established. The main result (Theorem 4.8) states that every codifferential category, satisfying a minor structural property, is Kähler.NEWLINENEWLINEA differential approach to capturing the universality of Kähler differentials is contained in [\textit{E. Dubuc} and \textit{A. Kock}, Commun. Algebra 12, 1471--1531 (1984; Zbl 1254.51005)].
reviewed by: Marek Golasiński
description: scientific article; zbMATH DE number 6079064