Gently Killing S--spaces

Details Gently Killing S--spaces Gently Killing S--spaces

1998-12-22

arxiv.org/abs/math/9812133v1

Mathematics

Logic

Scientific paper

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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