Coloring Cantor sets and resolvability of pseudocompact spaces

István Juhász, Lajos Soukup, Zoltán Szentmiklóssy

Let us denote by $\Phi (\lambda ,\mu )$ the statement that $\mathbb{B}(\lambda )=D(\lambda {)}^{\omega }$, i.e. the Baire space of weight $\lambda$, has a coloring with $\mu$ colors such that every homeomorphic copy of the C…