Gently Killing S--spaces

by Eisworth and Nyikos and Shelah. [ENSh:690]
Israel J Math, 2003
We produce a model of ZFC in which there are no locally compact first countable S--spaces, and in which 2^{aleph_0}<2^{aleph_1} . A consequence of this is that in this model there are no locally compact, separable, hereditarily normal spaces of size aleph_1, answering a question of the second author

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