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The AR-property for Roberts' example of a compact convex set with no extreme points Part 2: Application to the example

Author(s): Nguyen To Nhu; Jose M. R. Sanjurjo; Tran Van An
Journal: Proc. Amer. Math. Soc. 125 (1997), 3089-3098.
MSC (1991): Primary 54C55; Secondary 54D45
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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: 10.1090/S0002-9939-97-04021-5
PII: S 0002-9939(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
Copyright of article: Copyright 1997, American Mathematical Society




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