Abstract
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.
Citation
Genaro López-Acedo. Adriana Nicolae. "Remarks on the continuity of convex functions in geodesic spaces." Topol. Methods Nonlinear Anal. 63 (1) 299 - 307, 2024. https://doi.org/10.12775/TMNA.2023.060
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