Gently killing S-spaces

Todd Elsworth; Peter Nyikos; Saharon Shelah

doi:10.1007/bf02807198

Gently killing S-spaces

Todd Elsworth^*
, Peter Nyikos
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We produce a model of ZFC in which there are no locally compact first countable S-spaces, and in which 2^N0 < 2^N1. A consequence of this is that in this model there are no locally compact, separable, hereditarily normal spaces of size N₁, answering a question of the second author.

Original language	English
Pages (from-to)	189-220
Number of pages	32
Journal	Israel Journal of Mathematics
Volume	136
DOIs	https://doi.org/10.1007/bf02807198
State	Published - 2003

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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 2N0 < 2N1. A consequence of this is that in this model there are no locally compact, separable, hereditarily normal spaces of size N1, answering a question of the second author.",

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AB - We produce a model of ZFC in which there are no locally compact first countable S-spaces, and in which 2N0 < 2N1. A consequence of this is that in this model there are no locally compact, separable, hereditarily normal spaces of size N1, answering a question of the second author.

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JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

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Gently killing S-spaces

Abstract

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