The AR-property for Roberts' example

of a compact convex set with no extreme points

Part 2: Application to the example

Authors:
Nguyen To Nhu, Jose M. R. Sanjurjo and Tran Van An

Journal:
Proc. Amer. Math. Soc. **125** (1997), 3089-3098

MSC (1991):
Primary 54C55; Secondary 54D45

DOI:
https://doi.org/10.1090/S0002-9939-97-04021-5

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Abstract | References | Similar Articles | Additional Information

Abstract: In this second part of our paper, we apply the result of Part 1 to show that the compact convex set with no extreme points, constructed by Roberts (1977), is an AR.

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Additional Information

**Nguyen To Nhu**

Affiliation:
Institute of Mathematics, P.O. Box 631, Bo Ho, Hanoi, Vietnam

Address at time of publication:
Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003-8001

Email:
nnguyen@nmsu.edu

**Jose M. R. Sanjurjo**

Affiliation:
Departamento de Geometria y Topologia, Facultad de Matematicas, Universidad Complutense de Madrid, 280 40 Madrid, Spain

Email:
sanjurjo@sungt1.mat.ucm.es

**Tran Van An**

Affiliation:
Department of Mathematics, University of Vinh, Nghe An, Vietnam

DOI:
https://doi.org/10.1090/S0002-9939-97-04021-5

Keywords:
Convex set,
linear metric space,
extreme point,
absolute retract

Received by editor(s):
December 17, 1992

Received by editor(s) in revised form:
April 1, 1996

Additional Notes:
The first author was supported by the Complutense University of Madrid.

Communicated by:
James West

Article copyright:
© Copyright 1997
American Mathematical Society