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Neighborly 4-Polytopes and Neighborly Combinatorial 3-Manifolds with Ten Vertices

Published online by Cambridge University Press:  20 November 2018

A. Altshuler
A. Altshuler*
Affiliation:
Ben Gurion University of the Negev, BeerSheva, Israel
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Abstract

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A combinatorial n-sphere is a simplicial n-complex whose body (i.e., the union of its members) is homeomorphic to the topological n-sphere Sn. A combinatorial n-manifold is a simplicial n-complex M such that M is connected, and for every vertex x in M the complex linker, M), the link of x in M, is a combinatorial (n — 1)-sphere. For more details the reader should consult Alexander [1] and Grünbaum [16]. All the spheres and manifolds to which we refer are combinatorial.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 2 , 01 April 1977 , pp. 400 - 420
Copyright
Copyright © Canadian Mathematical Society 1977

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