Voronoĭ type criteria for lattice coverings with balls
Peter M. Gruber (2011)
Acta Arithmetica
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Displaying similar documents to “On a problem of Ryškov concerning lattice coverings”
Voronoĭ type criteria for lattice coverings with balls
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We define and study classification systems in an arbitrary CJ-generated complete lattice L. Introducing a partial order among the classification systems of L, we obtain a complete lattice denoted by Cls(L). By using the elements of the classification systems, another lattice is also constructed: the box lattice B(L) of L. We show that B(L) is an atomistic complete lattice, moreover Cls(L)=Cls(B(L)). If B(L) is a pseudocomplemented lattice, then every classification system of L is independent...
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