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March 3, 2024Topological Methods in Nonlinear AnalysisOpen Access

Remarks on the continuity of convex functions in geodesic spaces

Genaro López-Acedo Adriana Nicolae

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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 R-trees with the geodesic extension property around any point are locally polyhedral spaces.

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Cite This Study

López-Acedo et al. (2024) studied this question.

synapsesocial.com/papers/68e75ef7b6db6435876d5fbd https://doi.org/10.12775/tmna.2023.060

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