A small Radon-Nikodým compact space from a parametrized diamond
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866912324749623296 |
|---|---|
| author | Martínez-Celis, Arturo Morawski, Adam |
| author_facet | Martínez-Celis, Arturo Morawski, Adam |
| contents | A compact space $K$ is Radon-Nikodým if there is a lower semi-continuous metric fragmenting $K$. In this note, we show that, under $\diamondsuit (\mathrm{non}{\mathcal{M}})$, there is a Radon-Nikodým compact space of weight $\aleph_1$ with a continuous image that is not Radon-Nikodým, which partially answers a question posed in arXiv:1112.4152 [math.FA]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_09351 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A small Radon-Nikodým compact space from a parametrized diamond Martínez-Celis, Arturo Morawski, Adam Functional Analysis 46B26 (Primary) 46B50, 03E17, 03E35, 03E75 (Secondary) A compact space $K$ is Radon-Nikodým if there is a lower semi-continuous metric fragmenting $K$. In this note, we show that, under $\diamondsuit (\mathrm{non}{\mathcal{M}})$, there is a Radon-Nikodým compact space of weight $\aleph_1$ with a continuous image that is not Radon-Nikodým, which partially answers a question posed in arXiv:1112.4152 [math.FA]. |
| title | A small Radon-Nikodým compact space from a parametrized diamond |
| topic | Functional Analysis 46B26 (Primary) 46B50, 03E17, 03E35, 03E75 (Secondary) |
| url | https://arxiv.org/abs/2504.09351 |