More on powers of singular cardinals

Saharon Shelah

doi:10.1007/BF02774143

More on powers of singular cardinals

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We give bounds for {Mathematical expression} where cf δ=א₁, (∀a<δ) {Mathematical expression}, in cases which previously remained opened, including the first such cardinal: the ω₁-th cardinal in C_ω=∩n<ω C_n where C₀ is the cardinal and C_n+1 the set of fixed points of C_n. No knowledge of earlier results is required. A subsequent work generalizing this was applied to many more cardinals ([Sh 7]).

Original language	English
Pages (from-to)	299-326
Number of pages	28
Journal	Israel Journal of Mathematics
Volume	59
Issue number	3
DOIs	https://doi.org/10.1007/BF02774143
State	Published - Oct 1987

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abstract = "We give bounds for \{Mathematical expression\} where cf δ=א1, (∀a<δ) \{Mathematical expression\}, in cases which previously remained opened, including the first such cardinal: the ω 1-th cardinal in C ω=∩n<ω C n where C 0 is the cardinal and C n+1 the set of fixed points of C 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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AB - We give bounds for {Mathematical expression} where cf δ=א1, (∀a<δ) {Mathematical expression}, in cases which previously remained opened, including the first such cardinal: the ω 1-th cardinal in C ω=∩n<ω C n where C 0 is the cardinal and C n+1 the set of fixed points of C 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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More on powers of singular cardinals

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