caa a22 4500 445813660 CHVBK 20180317145219.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s11083-010-9156-2 doi (NATIONALLICENCE)springer-10.1007/s11083-010-9156-2 Order Types of Convex Bodies [Elektronische Daten] [Alfredo Hubard, Luis Montejano, Emiliano Mora, Andrew Suk] We prove a Hadwiger transversal-type result, characterizing convex position on a family of non-crossing convex bodies in the plane. This theorem suggests a definition for the order type of a family of convex bodies, generalizing the usual definition of order type for point sets. This order type turns out to be an oriented matroid. We also give new upper bounds on the Erdős-Szekeres theorem in the context of convex bodies. Springer Science+Business Media B.V., 2010 Order type nationallicence Convex bodies nationallicence Ovals nationallicence Independent convex sets nationallicence Oriented matroid nationallicence Erdos Szekeres nationallicence Geometric ramsey theory nationallicence Convex position nationallicence Geometric transversal nationallicence Hubard Alfredo Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, 10012, New York, NY, USA aut Montejano Luis Instituto de Matematicas, Universidad Nacional Autonoma de Mexico (UNAM), 04510, Mexico, DF, Mexico aut Mora Emiliano Instituto de Matematicas, Universidad Nacional Autonoma de Mexico (UNAM), 04510, Mexico, DF, Mexico aut Suk Andrew Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, 10012, New York, NY, USA aut Order Springer Netherlands 28/1(2011-03-01), 121-130 0167-8094 28:1<121 2011 28 11083 https://doi.org/10.1007/s11083-010-9156-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11083-010-9156-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hubard Alfredo Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, 10012, New York, NY, USA aut NATIONALLICENCE 700 1- Montejano Luis Instituto de Matematicas, Universidad Nacional Autonoma de Mexico (UNAM), 04510, Mexico, DF, Mexico aut NATIONALLICENCE 700 1- Mora Emiliano Instituto de Matematicas, Universidad Nacional Autonoma de Mexico (UNAM), 04510, Mexico, DF, Mexico aut NATIONALLICENCE 700 1- Suk Andrew Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, 10012, New York, NY, USA aut NATIONALLICENCE 773 0- Order Springer Netherlands 28/1(2011-03-01), 121-130 0167-8094 28:1<121 2011 28 11083 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer