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Borsuk-Dugundji type extension theorems with Busemann convex target spaces

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Espínola, Rafa and Madiedo Castro, Óscar Reynaldo and Nicolae, Adriana (2018) Borsuk-Dugundji type extension theorems with Busemann convex target spaces. Annales Academiae Scientiarum Fennicae Mathematica, 43 . pp. 225-238. ISSN 1239-629X

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Official URL: https://doi.org/10.5186/aasfm.2018.4313



Abstract

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.


Item Type:Article
Uncontrolled Keywords:Convex combination, Geodesic space, Busemann convexity, Extension problem, Lipschitz mapping.
Subjects:Sciences > Mathematics
Sciences > Mathematics > Mathematical analysis
ID Code:60313
Deposited On:04 May 2020 09:49
Last Modified:12 May 2020 08:39

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