TY - JOUR AU - Nhu, Nguyen Tho AU - Rodríguez Sanjurjo, José Manuel AU - Van An, Tran PY - 1997 DO - 10.1090/S0002-9939-97-04020-3 SN - 0002-9939 UR - https://hdl.handle.net/20.500.14352/57661 T2 - Proceedings of the American Mathematical Society AB - We prove that the original compact convex set with no extreme points, constructed by Roberts (1977) is an absolute retract, therefore is homeomorphic to the Hilbert cube. Our proof consists of two parts. In this first part, we give a sufficient... LA - eng M2 - 3075 PB - American Mathematical Society KW - Convex set KW - linear metric space KW - extreme point KW - absolute retract TI - The AR-property for Roberts' example of a compact convex set with no extreme points .1. General result TY - journal article VL - 125 ER -