par Doignon, Jean-Paul
Référence Journal of geometry, 3, 1, page (71-85)
Publication Publié, 1973-03
Article révisé par les pairs
Résumé : A subset of a (cristallographical) lattice ℒn is called convex whenever it is the intersection of the lattice with a convex set of the affine space containing ℒn. We give a characterization of the convex sets which is intrinsic to the lattice and do the same for other related notions, e.g. the boundary of a convex set of ℒn. A statement analogous to Helly's theorem is also proved. © 1973 Birkhäuser-Verlag.