A Borel linear subspace of ${\mathbb{R}}^{\omega }$ that cannot be covered by countably many closed Haar-meager sets

Taras Banakh, Eliza Jabłońska

We prove that the countable product of lines contains a Borel linear subspace $L\ne {\mathbb{R}}^{\omega }$ that cannot be covered by countably many closed Haar-meager sets. This example is ap…