Globular lattices
type: Item
instance of: scholarly article
title: Globular lattices
zbMATH Open document ID: 1170.06004
author: Gerhard Gierz
author: Albert R. Stralka
published in: Topology and its Applications
publication date: 2009-07-01T00:00:00Z
review text: The authors study ``globular lattices'', that is, those full sublattices of Euclidean space for which the set of primes coincides with the set of co-primes. They show that lattice spheres are globular lattices and that globular lattices are spindles. For dimensions two and three the only globular lattices are the lattice spheres but for dimension four there are uncountably many distinct globular lattices.
Mathematics Subject Classification ID: 06B30
Mathematics Subject Classification ID: 54H12
zbMATH DE Number: 5573794
zbMATH Keywords: sublattices of Euclidean space
zbMATH Keywords: primes
zbMATH Keywords: co-primes
reviewed by: Hans Peter Künzi
MaRDI profile type: Publication
full work available at URL: j.topol.2009.03.044
OpenAlex ID: W4210520301
cites work: Q3360919
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cites work: Subdirekte Produkte vollständiger Verbände.
DOI: 10.1016/J.TOPOL.2009.03.044
description: scientific article; zbMATH DE number 5573794