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

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Nhu, Nguyen Tho and Rodríguez Sanjurjo, José Manuel and Van An, Tran (1997) The AR-property for Roberts' example of a compact convex set with no extreme points .2. Application to the example. Proceedings of the American Mathematical Society, 125 (10). pp. 3089-3098. ISSN 0002-9939

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Official URL: http://www.ams.org/journals/proc/1997-125-10/S0002-9939-97-04021-5/S0002-9939-97-04021-5.pdf




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.


Item Type:Article
Uncontrolled Keywords:Convex set, linear metric space, extreme point, absolute retract
Subjects:Sciences > Mathematics > Geometry
Sciences > Mathematics > Topology
ID Code:16904
Deposited On:26 Oct 2012 10:44
Last Modified:12 Dec 2018 15:13

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