Gently Killing S--spaces
Todd Eisworth, Peter Nyikos, Saharon Shelah
Abstract
We produce a model of ZFC in which there are no locally compact first countable S-spaces, and in which 2aleph0<2aleph1. A consequence of this is that in this model there are no locally compact, separable, hereditarily normal spaces of size aleph1, answering a question of the second author.
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