6533b82bfe1ef96bd128cd34
RESEARCH PRODUCT
Dense metrizable subspaces in powers of Corson compacta
Arkady LeidermanSanti SpadaroStevo Todorcevicsubject
Corson compactum dense metrizable subspace countable chain condition Martin's Axiom strictly positive measure.Applied MathematicsGeneral Mathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2022-03-29 | Proceedings of the American Mathematical Society |