Manifolds in stacked 4-polytopes

Amos Altshuler

doi:10.1016/0097-3165(71)90026-4

Manifolds in stacked 4-polytopes

Amos Altshuler

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

14 Scopus citations

Abstract

Let P be a special family of convex 4-polytopes, the family of stacked 4-polytopes. For every P ε{lunate}P we investigate the existence, the structure, and the number of 2-manifolds |M| such that M is a 2-complex contained in the 2-dimensional skeleton of P, and containing all the edges of P.

Original language	English
Pages (from-to)	198-239
Number of pages	42
Journal	Journal of Combinatorial Theory - Series A
Volume	10
Issue number	3
DOIs	https://doi.org/10.1016/0097-3165(71)90026-4
State	Published - 1 Jan 1971
Externally published	Yes

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1016/0097-3165(71)90026-4

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title = "Manifolds in stacked 4-polytopes",

abstract = "Let P be a special family of convex 4-polytopes, the family of stacked 4-polytopes. For every P ε\{lunate\}P we investigate the existence, the structure, and the number of 2-manifolds |M| such that M is a 2-complex contained in the 2-dimensional skeleton of P, and containing all the edges of P.",

author = "Amos Altshuler",

year = "1971",

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doi = "10.1016/0097-3165(71)90026-4",

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T1 - Manifolds in stacked 4-polytopes

AU - Altshuler, Amos

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N2 - Let P be a special family of convex 4-polytopes, the family of stacked 4-polytopes. For every P ε{lunate}P we investigate the existence, the structure, and the number of 2-manifolds |M| such that M is a 2-complex contained in the 2-dimensional skeleton of P, and containing all the edges of P.

AB - Let P be a special family of convex 4-polytopes, the family of stacked 4-polytopes. For every P ε{lunate}P we investigate the existence, the structure, and the number of 2-manifolds |M| such that M is a 2-complex contained in the 2-dimensional skeleton of P, and containing all the edges of P.

UR - https://www.scopus.com/pages/publications/49649156660

U2 - 10.1016/0097-3165(71)90026-4

DO - 10.1016/0097-3165(71)90026-4

M3 - Article

AN - SCOPUS:49649156660

SN - 0097-3165

VL - 10

SP - 198

EP - 239

JO - Journal of Combinatorial Theory - Series A

JF - Journal of Combinatorial Theory - Series A

IS - 3

ER -

Manifolds in stacked 4-polytopes

Abstract

ASJC Scopus subject areas

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