A peculiar triangulation of the 3-sphere

A. Altshuler

doi:10.1090/S0002-9939-1976-0397744-3

A peculiar triangulation of the 3-sphere

A. Altshuler

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

A triangulation of the 3-sphere with 10 vertices is presented, which is not directly obtainable by a generalized stellar subdivision from any 3-sphere with 9 vertices. This answers in the affirmative a conjecture by B. Griinbaum. This example is shown to be the minimal possible.

Original language	English
Pages (from-to)	449-452
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	54
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1976-0397744-3
State	Published - 1 Jan 1976

Keywords

Combinatorial n-sphere
Shellable sphere
Simplicial n-complex

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1976-0397744-3

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title = "A peculiar triangulation of the 3-sphere",

abstract = "A triangulation of the 3-sphere with 10 vertices is presented, which is not directly obtainable by a generalized stellar subdivision from any 3-sphere with 9 vertices. This answers in the affirmative a conjecture by B. Griinbaum. This example is shown to be the minimal possible.",

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KW - Combinatorial n-sphere

KW - Shellable sphere

KW - Simplicial n-complex

UR - https://www.scopus.com/pages/publications/84966229023

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A peculiar triangulation of the 3-sphere

Abstract

Keywords

ASJC Scopus subject areas

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