Dense metrizable subspaces in powers of Corson compacta
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909148024668160 |
|---|---|
| author | Leiderman, Arkady Spadaro, Santi Todorcevic, Stevo |
| author_facet | Leiderman, Arkady Spadaro, Santi Todorcevic, Stevo |
| contents | We characterize when the countable power of a Corson compactum has a dense metrizable subspace and construct consistent examples of Corson compacta whose countable power does not have a dense metrizable subspace. We also give several remarks about ccc Corson compacta and, as a byproduct, we obtain a new proof of Kunen and van Mill's characterization of when a Corson compactum supporting a strictly positive measure is metrizable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_15799 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dense metrizable subspaces in powers of Corson compacta Leiderman, Arkady Spadaro, Santi Todorcevic, Stevo General Topology Logic We characterize when the countable power of a Corson compactum has a dense metrizable subspace and construct consistent examples of Corson compacta whose countable power does not have a dense metrizable subspace. We also give several remarks about ccc Corson compacta and, as a byproduct, we obtain a new proof of Kunen and van Mill's characterization of when a Corson compactum supporting a strictly positive measure is metrizable. |
| title | Dense metrizable subspaces in powers of Corson compacta |
| topic | General Topology Logic |
| url | https://arxiv.org/abs/2403.15799 |