Gale transform of a starshaped sphere
Combinatorics
2012-01-31 v1 Metric Geometry
Abstract
Gale transform is a simple but powerful tool in convex geometry. In particular, the use of Gale transform is the main argument in the classification of polytopes with few vertices. Many books and documents cover the definition of Gale transform and its main properties related to convex polytopes. But it seems that there does not exist document studying the Gale transform of more general objects, such that triangulation of spheres. In this paper, we study the properties of the Gale transform of a large class of such spheres called starshaped spheres.
Keywords
Cite
@article{arxiv.1201.6205,
title = {Gale transform of a starshaped sphere},
author = {Jerome Tambour},
journal= {arXiv preprint arXiv:1201.6205},
year = {2012}
}
Comments
21 pages. Affine and convex geometry; combinatorics; Gale transform