Remarks on the continuity of convex functions in geodesic spaces
DOI:
https://doi.org/10.12775/TMNA.2023.060Słowa kluczowe
Convex function, continuity, polyhedral spacesAbstrakt
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.Bibliografia
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Prawa autorskie (c) 2024 Genaro López-Acedo, Adriana Nicolae
Utwór dostępny jest na licencji Creative Commons Uznanie autorstwa – Bez utworów zależnych 4.0 Międzynarodowe.
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