A criterion for the affine equivalence of cell compleses in Rd and convex polyhedra in Rd+1

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Abstract

A criterion is given that decides, for a convex tilingC ofRd, whetherC is the projection of the faces in the boundary of some convex polyhedronP inRd+1. Its applicability is restricted neither by the properties nor by the dimension ofC. It turns out to be conceptually simpler than other criteria and allows the easy examination of various classes of cell complexes. In addition, the criterion is constructive, that is, it can be used to constructP provided it exists.
Original languageEnglish
Place of PublicationGraz
Publisher.
DOIs
Publication statusPublished - 1985

Treatment code (Nähere Zuordnung)

  • Basic - Fundamental (Grundlagenforschung)

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