Special subsets of the generalized Cantor space and generalized Baire space

Special subsets of the generalized Cantor space and generalized Baire space with T. Weiss (accepted to be published in Math. Logic Quarterly). (arXiv)

Many of the classical notions of special subsets of 2^\omega can be generalized to the case of generalized Cantor space 2^\kappa. In this paper we study those classes of sets in this setting. It turns out that many of properties of subsets of 2^\omega can be easily proved in 2^\kappa, although sometimes one has to use some additional set-theoretic assumptions. Next we deal with less common classes of small sets in 2^\kappa.