Gently Killing S--spaces
classification
🧮 math.LO
math.GN
keywords
alephcompactlocallymodelthereansweringauthorconsequence
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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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