A regular topological space having no closed subsets of cardinality $\aleph\sb 2$

Using ${\diamondsuit _{{\lambda ^ + }}}$, we construct a regular topological space in which all closed sets are of cardinality either $< \lambda {\text {or}} \geq {{\text {2}}^{{\lambda ^ + }}}$. In particular (answering a question of Juhász) there is always a regular space in which no closed set has cardinality ${\aleph _2}$.