Polyhedral representations of discrete differential manifolds

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 May 1997Embargo end date: 01 Feb 1996 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 38, pages 2,741-2,750 (issn: 0022-2488, eissn: 1089-7658,

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Authors: Zapatrin, Roman R.;

doi: 10.1063/1.532014 , 10.48550/arxiv.dg-ga/9602010

arXiv: dg-ga/9602010

Polyhedral representations of discrete differential manifolds

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Abstract

Any discrete differential manifold M (a finite set endowed with an algebraic differential calculus) can be represented by appropriate polyhedron P(M). The representation is proved to be exact for a special class of manifolds called basic. The links with the finitary substitutes of continuous spaces introduced by R. Sorkin are established.

Keywords

Differential spaces, Mathematics - Differential Geometry, Differential Geometry (math.DG), Triangulating manifolds, FOS: Mathematics, discrete differential manifold, polyhedral representation

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