### A regular topological space having no closed subsets of cardinality $\aleph_ 2$

by Goldstern and Judah and Shelah. [GJSh:369]

Proc American Math Soc, 1991

We show in ZFC that there is a regular (even
zerodimensional) topological space of size > aleph_2 in which
there are no closed sets of size aleph_2 . The proof starts
by noticing that if beta omega does not work, then we can use
a diamondsuit .

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