Characterization of compact geodesic spaces
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...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/182142 |
| Acceso en línea: | https://hdl.handle.net/11441/182142 https://doi.org/10.1016/j.jmaa.2015.01.004 |
| Access Level: | acceso abierto |
| Palabra clave: | Compactness Fixed point Geodesic spaces Sectional curvature |
| Sumario: | 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. |
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