Blowing up power of a singular cardinal-wider gaps

Moti Gitik

doi:10.1016/S0168-0072(01)00098-7

Blowing up power of a singular cardinal-wider gaps

Moti Gitik^*

^*Corresponding author for this work

School of Mathematical Sciences

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

16 Scopus citations

Abstract

The paper is concerned with methods for blowing power of singular cardinals using short extenders. Thus, for example, starting with κ of cofinality ω with {α < κ o(α) ≥ α⁺ⁿ} cofinal in κ for every n < ω we construct a cardinal preserving extension having the same bounded subsets of κ and satisfying 2^κ = κ^+δ+1 for any δ < א₁.

Original language	English
Pages (from-to)	1-38
Number of pages	38
Journal	Annals of Pure and Applied Logic
Volume	116
Issue number	1-3
DOIs	https://doi.org/10.1016/S0168-0072(01)00098-7
State	Published - 15 Aug 2002

Keywords

Extenders
Forcing
Singular cardinals

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10.1016/S0168-0072(01)00098-7

Cite this

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abstract = "The paper is concerned with methods for blowing power of singular cardinals using short extenders. Thus, for example, starting with κ of cofinality ω with \{α < κ o(α) ≥ α+n\} cofinal in κ for every n < ω we construct a cardinal preserving extension having the same bounded subsets of κ and satisfying 2κ = κ+δ+1 for any δ < א1.",

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Blowing up power of a singular cardinal-wider gaps

Abstract

Keywords

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