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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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
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by Nguyen To Nhu, Jose M. R. Sanjurjo and Tran Van An PDF
Proc. Amer. Math. Soc. 125 (1997), 3089-3098 Request permission

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.
References
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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
  • 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 1997 American Mathematical Society
  • 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
  • MathSciNet review: 1415358