Abstract
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: theω 1-th cardinal inC ω=∩n<ω C n whereC 0 is the cardinal andC n+1 the set of fixed points ofC n. No knowledge of earlier results is required. A subsequent work generalizing this was applied to many more cardinals ([Sh 7]).
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The author would like to thank the Canadian NSERC for supporting this research by Grant A3040 and the Israel Academy of Science for supporting it.
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Shelah, S. More on powers of singular cardinals. Israel J. Math. 59, 299–326 (1987). https://doi.org/10.1007/BF02774143
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DOI: https://doi.org/10.1007/BF02774143