Two dimensional weak pseudomanifolds on seven vertices (Q1977169)

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scientific article; zbMATH DE number 1444147
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Two dimensional weak pseudomanifolds on seven vertices
scientific article; zbMATH DE number 1444147

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    Two dimensional weak pseudomanifolds on seven vertices (English)
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    9 May 2000
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    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.
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    combinatorial 2-manifold
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