Non-reflection of the bad set for Ǐθλ and pcf

Saharon Shelah

doi:10.1007/s10474-013-0344-6

Non-reflection of the bad set for Ǐ_θλ and pcf

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

7 Scopus citations

Abstract

We reconsider here the following related pcf questions and make some advances: (Q1) concerning the ideal Ǐ_κλ how much reflection do we have for the bad set S^bd_{λ, κ} {subset double equals} {δ < λ: cf(δ) = κ} assuming it is well defined (for transparency only)? (Q2) are there somewhat free black boxes? The advances in (Q2) will be used in subsequent for constructions of Abelian groups and modules.

Original language	English
Pages (from-to)	11-35
Number of pages	25
Journal	Acta Mathematica Hungarica
Volume	141
Issue number	1-2
DOIs	https://doi.org/10.1007/s10474-013-0344-6
State	Published - Oct 2013

Keywords

03E04
03E05
non-reflection
pcf
set theory
stationary sets

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10.1007/s10474-013-0344-6

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abstract = "We reconsider here the following related pcf questions and make some advances: (Q1) concerning the ideal Ǐκλ how much reflection do we have for the bad set Sbdλ, κ \{subset double equals\} \{δ < λ: cf(δ) = κ\} assuming it is well defined (for transparency only)? (Q2) are there somewhat free black boxes? The advances in (Q2) will be used in subsequent for constructions of Abelian groups and modules.",

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KW - 03E05

KW - non-reflection

KW - pcf

KW - set theory

KW - stationary sets

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ER -

Non-reflection of the bad set for Ǐ_θλ and pcf

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Keywords

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