Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Givat Ram, 91904, Jerusalem, Israel
Abstract:
Let be a compact Hausdorff space and let be a lower semicontinuous metric on it. We prove that is fragmented by if, and only if, contains no copy of made up of Lipschitz functions with respect to . As applications we obtain a characterization of Asplund Banach spaces and Radon-Nikodým compacta.