Remarks on the continuity of convex functions in geodesic spaces
DOI:
https://doi.org/10.12775/TMNA.2023.060Keywords
Convex function, continuity, polyhedral spacesAbstract
We explore the behavior of convex functions defined on locally polyhedral type spaces. As a relevant example of such spaces we show that locally compact $\mathbb{R}$-trees with the geodesic extension property around any point are locally polyhedral spaces.References
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Copyright (c) 2024 Genaro López-Acedo, Adriana Nicolae
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