Israel Journal of Mathematics

, Volume 59, Issue 3, pp 299–326

More on powers of singular cardinals

  • Saharon Shelah

DOI: 10.1007/BF02774143

Cite this article as:
Shelah, S. Israel J. Math. (1987) 59: 299. doi:10.1007/BF02774143


We give bounds for\(\aleph _\delta ^\aleph 1\) where cfδ=ℵ1, (∀a<δ)\(\aleph _\delta ^\aleph 0< \aleph _\delta \), in cases which previously remained opened, including the first such cardinal: theω1-th cardinal inCω=∩n<ωCn whereC0 is the cardinal andCn+1 the set of fixed points ofCn. No knowledge of earlier results is required. A subsequent work generalizing this was applied to many more cardinals ([Sh 7]).

Copyright information

© The Weizmann Science Press of Israel 1987

Authors and Affiliations

  • Saharon Shelah
    • 1
    • 2
    • 3
  1. 1.The Hebrew University of JerusalemJerusalemIsrael
  2. 2.Simon Fraser UniversityBurnabyCanada
  3. 3.Rutgers UniversityNew BrunswickUSA