Categorical structures in physics
type: Item
instance of: scholarly article
title: Categorical structures in physics
zbMATH Open document ID: 0909.18001
DOI: 10.1023/A:1026673508514
author: K. Appert
published in: International Journal of Theoretical Physics
publication date: 1998-09-07T00:00:00Z
review text: This paper is a brief exposition of two categories which arise naturally in the mathematical description of physical systems: the category of \({\mathcal M}\)-spaces [\textit{A. Fröhlicher} and \textit{A. Kriegl}, ``Linear spaces and differentiation theory'', Wiley, Chichester (1988; Zbl 0657.46034)], in particular, of smooth spaces, and the category of Hilbert geometries [\textit{Cl.-A. Faure} and \textit{A. Fröhlicher}, Geom. Dedicata 56, No. 3, 225-236 (1995; Zbl 0836.51002)].
Mathematics Subject Classification ID: 18B99
Mathematics Subject Classification ID: 70A05
Mathematics Subject Classification ID: 81P10
zbMATH DE Number: 1196973
zbMATH Keywords: projective geometry
zbMATH Keywords: smooth spaces
zbMATH Keywords: Hilbert geometries
MaRDI profile type: Publication
full work available at URL: a:1026673508514
OpenAlex ID: W30164026
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description: scientific article; zbMATH DE number 1196973