# Sh:664

• Shelah, S. (2001). Strong dichotomy of cardinality. Results Math., 39(1-2), 131–154.
• Abstract:
A usual dichotomy is that in many cases, reasonably definable sets, satisfy the CH, i.e. if they are uncountable they have cardinality continuum. A strong dichotomy is when: if the cardinality is infinite it is continuum as in [Sh:273]. We are interested in such phenomena when \lambda=\aleph_0 is replaced by \lambda regular uncountable and also by \lambda=\beth_\omega or more generally by strong limit of cofinality \aleph_0.
• Version 2002-02-01_10 (30p) published version (24p)
Bib entry
@article{Sh:664,
author = {Shelah, Saharon},
title = {{Strong dichotomy of cardinality}},
journal = {Results Math.},
fjournal = {Results in Mathematics. Resultate der Mathematik},
volume = {39},
number = {1-2},
year = {2001},
pages = {131--154},
issn = {0378-6218},
mrnumber = {1817405},
mrclass = {03E99 (03E15 20K99)},
doi = {10.1007/BF03322680},
note = {\href{https://arxiv.org/abs/math/9807183}{arXiv: math/9807183}},
arxiv_number = {math/9807183}
}