Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615536 | Journal of Mathematical Analysis and Applications | 2015 | 10 Pages |
Abstract
Driven by Klee's well-known work about the topological properties of convex sets in locally convex linear spaces, we give a complete characterization of compact geodesic spaces with curvature bounded below in terms of the fixed point property for continuous functions. Furthermore, we provide an example which highlights the role of the sectional curvature in our result.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Genaro López-Acedo, Bozena Piatek,