RT Journal Article T1 The AR-property for Roberts' example of a compact convex set with no extreme points .1. General result A1 Nhu, Nguyen Tho A1 Rodríguez Sanjurjo, José Manuel A1 Van An, Tran 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 condition for a Roberts space to be an AR. In the second part of the paper, we shall apply this to show that the example of Roberts is an AR. PB American Mathematical Society SN 0002-9939 YR 1997 FD 1997-10 LK https://hdl.handle.net/20.500.14352/57661 UL https://hdl.handle.net/20.500.14352/57661 LA eng DS Docta Complutense RD 5 abr 2025