Borsuk-Dugundji type extension theorems with Busemann convex target spaces
In this work we study continuity properties of convex combinations in Busemann convex geodesic spaces and apply them to obtain two extension results for continuous and Lipschitz mappings with values in a Busemann convex space.
| Authors: | , , |
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| Format: | article |
| Publication Date: | 2018 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/19042 |
| Online Access: | https://hdl.handle.net/20.500.14352/19042 |
| Access Level: | Open access |
| Keyword: | Convex combination Geodesic space Busemann convexity Extension problem Lipschitz mapping. Matemáticas (Matemáticas) Análisis matemático 12 Matemáticas 1202 Análisis y Análisis Funcional |
| Summary: | In this work we study continuity properties of convex combinations in Busemann convex geodesic spaces and apply them to obtain two extension results for continuous and Lipschitz mappings with values in a Busemann convex space. |
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