On Upper Dini’s Systems and U.S.C. Functions With Convex Limit Sets

• Published in: Sarajevo journal of mathematics Vol. 2; no. 2; pp. 231 - 236
• Main Authors: Vuković, Mirjana, Holý, Dušan, Matejička, Ladislav
• Format: Journal Article
• Language: English
• Published: 12.06.2024

We give an answer to the question in [HN] as to which upper Dini's systems of functions induces a Hausdorff metric topology on $U_0(X)$. We show that if $X$ is a locally connected metric space then the Hausdorff metric topology on $U_0(X)$ induces as an upper Dini's system of functions the...