A small Radon–Nikodým compact space from a parametrized diamond
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Abstract
A compact space K is Radon–Nikodým if there is a lower semicontinuous metric fragmenting K. In this note, we show that, under ♢(non(M)), there is a Radon–Nikodým compact space of weight ℵ1 with a continuous image that is not Radon–Nikodým, which partially answers a question posed by Avilés and Koszmider in 2013.
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Authors: Arturo Martínez-Celis
Institutions: Charles University, Czech Academy of Sciences, University of Wrocław