Parametric pseudo-manifolds
type: Item
instance of: scholarly article
title: Parametric pseudo-manifolds
zbMATH Open document ID: 1263.57016
author: Dianna Xu
author: Marcelo Siqueira
author: Jean Gallier
published in: Differential Geometry and its Applications
publication date: 2013-01-16T00:00:00Z
review text: The authors introduce and study a new constructive definition of manifold. They formally define gluing data, and prove that a ``universal'' manifold can always be constructed from a set of gluing data through a (constructive) gluing process. A characterization for the manifold to be Hausdorff is given. The notion of parametric pseudo-manifolds is also introduced, and some of their properties are discussed.
reviewed by: L. P. Castro
Mathematics Subject Classification ID: 57N05
Mathematics Subject Classification ID: 57R55
Mathematics Subject Classification ID: 58A05
Mathematics Subject Classification ID: 65D18
zbMATH DE Number: 6126065
zbMATH Keywords: manifold
zbMATH Keywords: gluing data
zbMATH Keywords: triangulation
zbMATH Keywords: parametric pseudo-manifold
MaRDI profile type: Publication
full work available at URL: j.difgeo.2012.09.002
OpenAlex ID: W2072503497
Wikidata QID: Q115356676
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DOI: 10.1016/J.DIFGEO.2012.09.002
description: scientific article; zbMATH DE number 6126065