On the krein-milman theorem in CAT(κ) spaces
© 2018, SINUS Association. All rights reserved. Let κ > 0 and (X, ρ) be a complete CAT(κ) space whose diameter smaller than (Forumala Presented). It is shown that if K is a nonempty compact convex subset of X, then K is the closed convex hull of its set of extreme points. This is an extension of...
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| Format: | Journal |
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2018
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| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85054982853&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62775 |
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| Institution: | Chiang Mai University |
| Summary: | © 2018, SINUS Association. All rights reserved. Let κ > 0 and (X, ρ) be a complete CAT(κ) space whose diameter smaller than (Forumala Presented). It is shown that if K is a nonempty compact convex subset of X, then K is the closed convex hull of its set of extreme points. This is an extension of the Krein-Milman theorem to the general setting of CAT(κ) spaces. |
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