A small Radon–Nikodým compact space from a parametrized diamond

Fundamenta Mathematicae 2026 Open access

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Authors: Arturo Martínez-Celis, Adam Morawski
DOI: 10.4064/fm251021-2-3
Cited by: 0

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.

Fields of Study & Subjects

Digital Image Processing Techniques

Publication details

Journal / source
Fundamenta Mathematicae
Publication date
21 September 2026
Language
EN