Abstract
We show that the assumption of separability of the underlying space X in the Solecki covering theorem cannot be removed. On the other hand it can be removed under an extra assumption that the considered $\sigma$-ideal is locally determined.
We show that the assumption of separability of the underlying space X in the Solecki covering theorem cannot be removed. On the other hand it can be removed under an extra assumption that the considered $\sigma$-ideal is locally determined.