𝔖 Bobbio Scriptorium
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Covering sets for plane lattices

✍ Scribed by S. Vassallo; J. M. Wills


Publisher
Springer Vienna
Year
1996
Tongue
English
Weight
307 KB
Volume
121
Category
Article
ISSN
0026-9255

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πŸ“œ SIMILAR VOLUMES


A covering problem for plane lattices
✍ Salvatore Vassallo πŸ“‚ Article πŸ“… 1992 πŸ› Springer 🌐 English βš– 491 KB

Let &a be a plane lattice and {vl, v2} a Minkowski reduced base of ~. In this note we prove that ifa convex body X has minimal width w(X')/> Iv2[ sin ~p + Ivll(x/3/2), where ~o is the acute angle between vl and v2, then X" is a covering set for ~.

Generating sets for lattices of dimensio
✍ Bill Sands πŸ“‚ Article πŸ“… 1980 πŸ› Elsevier Science 🌐 English βš– 596 KB

The dimension of a partially ordered set P is the smallest integer n (if it exists) such that the partial order on P is the intersection of n linear orders. It is shown that if L is a lattice of dimension two containing a sublattice isomorphic to the modular Iatiice Mz,+,, then every generating set