Duality on Convex Sets in Generalized Regions

Alexander Segal, Boaz A. Slomka

نتاج البحث: فصل من :كتاب / تقرير / مؤتمرفصلمراجعة النظراء


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 الأصليةالإنجليزيّة
عنوان منشور المضيفAsymptotic Geometric Analysis
العنوان الفرعي لمنشور المضيفProceedings of the Fall 2010 Fields Institute Thematic Program
المحررونMonika Ludwig, Vladimir Pestov, Vitali Milman, Nicole Tomczak-Jaegermann
عدد الصفحات10
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - 2013
منشور خارجيًانعم

سلسلة المنشورات

الاسمFields Institute Communications
مستوى الصوت68
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.


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