ملخص
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.
| اللغة الأصلية | الإنجليزيّة |
|---|---|
| عنوان منشور المضيف | Asymptotic Geometric Analysis |
| العنوان الفرعي لمنشور المضيف | Proceedings of the Fall 2010 Fields Institute Thematic Program |
| المحررون | Monika Ludwig, Vladimir Pestov, Vitali Milman, Nicole Tomczak-Jaegermann |
| الصفحات | 289-298 |
| عدد الصفحات | 10 |
| المعرِّفات الرقمية للأشياء | |
| حالة النشر | نُشِر - 2013 |
| منشور خارجيًا | نعم |
سلسلة المنشورات
| الاسم | Fields Institute Communications |
|---|---|
| مستوى الصوت | 68 |
| رقم المعيار الدولي للدوريات (المطبوع) | 1069-5265 |
ملاحظة ببليوغرافية
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.