A small Radon–Nikodým compact space from a parametrized diamond
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.
Authors
- Arturo Martínez-Celis (ORCID: https://orcid.org/0000-0002-1197-5474)
Institutions
- Czech Academy of Sciences (CZ)
- Charles University (CZ)
- University of Wrocław (PL)
Publication Details
- Journal
- Fundamenta Mathematicae
- Published
- 2026-09-21
- DOI
- https://doi.org/10.4064/fm251021-2-3
- Primary Topic
- Digital Image Processing Techniques
- Type
- article
- Field-Weighted Citation Impact
- 0.00