naa a22 4500 510737099 CHVBK 20180411083014.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1007/s13366-012-0125-3 doi (NATIONALLICENCE)springer-10.1007/s13366-012-0125-3 Lawrence Jim Department of Mathematical Sciences, George Mason University, 22030, Fairfax, VA, USA aut Intersections of descending sequences of affinely equivalent convex bodies [Elektronische Daten] [Jim Lawrence] Here it is shown that a set in Euclidean space can be represented as the intersection of a descending sequence of sets affinely equivalent to a given convex body, or arbitrarily closely approximated from above by sets affinely equivalent to the body, if and only if it is affinely equivalent to an affine retract of the body. For the special case in which the body is a simplex, the statement concerning descending sequences is a well-known result of Borovikov. The Managing Editors, 2012 Convex body nationallicence Polytype nationallicence Affinely equivalent nationallicence Affine retract nationallicence Approximation from above nationallicence Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry Springer Berlin Heidelberg 54/2(2013-10-01), 669-676 0138-4821 54:2<669 2013 54 13366 https://doi.org/10.1007/s13366-012-0125-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s13366-012-0125-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Lawrence Jim Department of Mathematical Sciences, George Mason University, 22030, Fairfax, VA, USA aut NATIONALLICENCE 773 0- Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry Springer Berlin Heidelberg 54/2(2013-10-01), 669-676 0138-4821 54:2<669 2013 54 13366 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer