# Sh:690

• Eisworth, T., Nyikos, P. J., & Shelah, S. (2003). Gently killing S-spaces. Israel J. Math., 136, 189–220.
• 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
• Version 2003-06-16_11 (25p) published version (32p)
Bib entry
@article{Sh:690,
author = {Eisworth, Todd and Nyikos, Peter J. and Shelah, Saharon},
title = {{Gently killing S-spaces}},
journal = {Israel J. Math.},
fjournal = {Israel Journal of Mathematics},
volume = {136},
year = {2003},
pages = {189--220},
issn = {0021-2172},
mrnumber = {1998110},
mrclass = {03E35 (03E04 03E55 03E75)},
doi = {10.1007/BF02807198},
note = {\href{https://arxiv.org/abs/math/9812133}{arXiv: math/9812133}},
arxiv_number = {math/9812133}
}