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Gently Killing S--spaces

Todd Eisworth·Peter Nyikos·Saharon Shelah
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Abstract

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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Todd Eisworth, Peter Nyikos, Saharon Shelah. 1998-12-22. Gently Killing S--spaces. https://arxiv.org/abs/math/9812133

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