Instead of the axiom of choice, we assume that every set of reals has the Baire property. It is shown that under this condition the concept of slenderness known from the theory of abelian groups becomes meaningful for vector spaces.
Cite this article
Burkhard Wald, Linear forms in a playful universe. Rend. Sem. Mat. Univ. Padova 144 (2020), pp. 271–279DOI 10.4171/RSMUP/69