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Some properties of abstract convexity structures on topological spaces

✍ Scribed by Shu-wen Xiang; Hui Yang

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
206 KB
Volume
67
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, we establish some relationships among abstract convexity, the selection property and the fixed point property. We show that if a convexity structure C defined on a topological space has the selection property then C satisfies the H -condition. Moreover, in an l.c. compact metric space, the selection property implies the fixed point property.

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