%0 Journal Article %T On omitting cardinals in T_3 spaces %A Saharon Shelah %J Mathematics %D 1998 %I arXiv %X We prove that for every (infinite cardinal) lambda there is a T_3-space X with clopen basis, 2^mu points where mu = 2^lambda, such that every closed subspace of cardinality <|X| has cardinality < lambda . %U http://arxiv.org/abs/math/9811177v2