@inbook{4bf278a85eed43b5954758eed295da4d,
title = "Duality on Convex Sets in Generalized Regions",
abstract = "Recently, the duality relation on several families of convex sets was shown to be completely characterized by the simple property of reversing order. The families discussed in aforementioned results were convex sets in ℝn. Our goal in this note is to generalize this type of results to regions in ℝn bounded between two convex sets.",
keywords = "Duality of convex bodies, Fractional linear transformations, Order isomorphism",
author = "Alexander Segal and Slomka, {Boaz A.}",
note = "Funding Information: The authors would like to thank Prof. Vitali Milman and Prof. Shiri Artstein for suggesting to consider this generalization of order isomorphisms for convex regions and their useful advice and comments. The first named author was partially supported by the ISF grant no. 387/09, and the second named author was partially supported by the ISF grant no. 247/11. The research is supported in part by the Hermann Minkowski Minerva Center for Geometry at Tel Aviv University.",
year = "2013",
doi = "10.1007/978-1-4614-6406-8_13",
language = "الإنجليزيّة",
isbn = "9781461464051",
series = "Fields Institute Communications",
pages = "289--298",
editor = "Monika Ludwig and Vladimir Pestov and Vitali Milman and Nicole Tomczak-Jaegermann",
booktitle = "Asymptotic Geometric Analysis",
}