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The AR-property for Roberts' example of a compact convex set with no extreme points .1. General result


Nhu, Nguyen Tho y Rodríguez Sanjurjo, José Manuel y Van An, Tran (1997) The AR-property for Roberts' example of a compact convex set with no extreme points .1. General result. Proceedings of the American Mathematical Society, 125 (10). pp. 3075-3087. ISSN 0002-9939

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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.

Tipo de documento:Artículo
Palabras clave:Convex set, linear metric space, extreme point, absolute retract
Materias:Ciencias > Matemáticas > Geometría
Ciencias > Matemáticas > Topología
Código ID:16901

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Última Modificación:07 Feb 2014 09:37

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