Two dimensional weak pseudomanifolds on seven vertices
type: Item
instance of: scholarly article
title: Two dimensional weak pseudomanifolds on seven vertices
zbMATH Open document ID: 0949.52002
author: Basudeb Datta
published in: Boletín de la Sociedad Matemática Mexicana. Third Series
publication date: 2000-05-09T00:00:00Z
review text: It is well known that there are exactly five distinct 7-vertex triangulations of the 2-sphere and that there is exactly one 7-vertex torus. In this paper it is found that there are exactly three distinct 7-vertex triangulations of the real projective plane and four such triangulations of surfaces with singularities (weak pseudomanifolds), among them two spheres after identification of two points. There is a similar enumeration with 5 or 6 vertices.
Mathematics Subject Classification ID: 52B70
Mathematics Subject Classification ID: 57Q15
zbMATH DE Number: 1444147
zbMATH Keywords: combinatorial 2-manifold
reviewed by: Wolfgang Kühnel
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1444147