%0 Journal Article %T Regularity Properties on the Generalized Reals %A Sy-David Friedman %A Yurii Khomskii %A Vadim Kulikov %J Mathematics %D 2014 %I arXiv %X We investigate regularity properties derived from tree-like forcing notions in the setting of "generalized descriptive set theory", i.e., descriptive set theory on $\kappa^\kappa$ and $2^\kappa$, for regular uncountable cardinals $\kappa$. %U http://arxiv.org/abs/1408.5582v1