A TOPOLOGICAL EQUIVALENCE OF THE SINGULAR CARDINALS HYPOTHESIS

Authors
ISMAIL M SZYMANSKI A
Citation
M. Ismail et A. Szymanski, A TOPOLOGICAL EQUIVALENCE OF THE SINGULAR CARDINALS HYPOTHESIS, Proceedings of the American Mathematical Society, 123(3), 1995, pp. 971-973
Citations number
2
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
123
Issue
3
Year of publication
1995
Pages
971 - 973
Database
ISI
SICI code
0002-9939(1995)123:3<971:ATEOTS>2.0.ZU;2-M
Abstract
We show, in particular, that the Singular Cardinals Hypothesis is equi valent to the following statement: for each metric space X of cardinal ity greater than the continuum and of weigh of uncountable cofinality, the cardinality of X equals the weight of X.