For Euclidean spaces, it seems that polytopes are characterized by this property. The paper Gale, Klee, Rockafeller, "Convex functions on convex polytopes" contains this result:
10.01.2025 09:16 — 👍 1 🔁 0 💬 1 📌 0@andykleiner.bsky.social
For Euclidean spaces, it seems that polytopes are characterized by this property. The paper Gale, Klee, Rockafeller, "Convex functions on convex polytopes" contains this result:
10.01.2025 09:16 — 👍 1 🔁 0 💬 1 📌 0A great result! Just came across the paper by Arrow, Barankin, and Blackwell. Seems like their result directly implies Pearce's result?
18.12.2024 13:59 — 👍 2 🔁 0 💬 1 📌 0