Document Type

Article

Publication Date

2005

Abstract

A jump system is a set of lattice points satisfying a certain "two-step" axiom. We present a variety of results concerning the geometry of these objects, including a characterization of two-dimensional jump systems, necessary (though not sufficient) properties of higher-dimensional jump systems, and a characterization of constant-sum jump systems.

Document Object Identifier (DOI)

10.1216/rmjm/1181069656

Publication Information

Rocky Mountain Journal of Mathematics

Included in

Mathematics Commons

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