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Artículo
Continuous selections of Lipschitz extensions in metric spaces
(Springer, 2015-09)
This paper deals with the study of parameter dependence of extensions of Lipschitz mappings from the point of view of continuity. We show that if assuming appropriate curvature bounds for the spaces, the multivalued extension ...
Artículo
Borsuk-Dugundji type extension theorems with Busemann convex target spaces
(Finnish Academy of Science and Letters, 2018)
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.