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 27 abr 2025