Coloring Cantor sets and resolvability of pseudocompact spaces
Let us denote by the statement that , i.e. the Baire space of weight , has a coloring with colors such that every homeomorphic copy of the Cantor set in picks up all the colors. We call a space -regular if it is Hausdorff and for every nonempty open set in there is a nonempty open set such that . We recall that a space is called feebly compact if...