Codice QDD 2 Titolo Basic properties of evenly convex sets Data 2006-06-14 Autore/i Klee, V. ; Maluta, E. ; Zanco, C. Pubblicato Journal of Convex Analysis 14 (2007), No. 1, 137--148, Copyright Heldermann Verlag 2007 Abstract A subset of a finite-dimensional real vector space is called evenly convex if it is the intersection of a collection of open halfspaces. The study of such sets was initiated in 1952 by Werner Fenchel, who defined a natural polarity operation and mentioned some of its properties. Over the years since then, evenly convex sets have made occasional appearances in the literature but there has been no systematic study of their basic properties. Such a study is undertaken in the present paper.