Gently Killing S-Spaces

Authors

Todd Elsworth, University of Northern Iowa
Peter Nyikos, University of South CarolinaFollow
Saharon Shelah, Hebrew University of JerusalemFollow

Document Type

Article

Journal/Book/Conference Title

Israel Journal of Mathematics

Volume

136

First Page

189

Last Page

220

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.

Original Publication Date

1-1-2003

DOI of published version

10.1007/bf02807198

Recommended Citation

Elsworth, Todd; Nyikos, Peter; and Shelah, Saharon, "Gently Killing S-Spaces" (2003). Faculty Publications. 3322.
https://scholarworks.uni.edu/facpub/3322