A small Radon-Nikod\'ym compact space from a parametrized diamond
Functional Analysis
2025-04-15 v1
Abstract
A compact space is Radon-Nikod\'{y}m if there is a lower semi-continuous metric fragmenting . In this note, we show that, under , there is a Radon-Nikod\'{y}m compact space of weight with a continuous image that is not Radon-Nikod\'{y}m, which partially answers a question posed in arXiv:1112.4152 [math.FA].
Cite
@article{arxiv.2504.09351,
title = {A small Radon-Nikod\'ym compact space from a parametrized diamond},
author = {Arturo Martínez-Celis and Adam Morawski},
journal= {arXiv preprint arXiv:2504.09351},
year = {2025}
}
Comments
11 pages