Lifting problem of the measure algebra

Saharon Shelah

doi:10.1007/BF02760673

Lifting problem of the measure algebra

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

22 Scopus citations

Abstract

We prove the consistency of "ℬ/I_mz does not split" (see Notation). We write the proof so that with the standard duality, also the consistency of "ℬ/I_tc does not split" (i.e., replacing measure zero by first category, random by generic, etc.) is proved. The method is the oracle chain condition.

Original language	English
Pages (from-to)	90-96
Number of pages	7
Journal	Israel Journal of Mathematics
Volume	45
Issue number	1
DOIs	https://doi.org/10.1007/BF02760673
State	Published - Mar 1983

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AB - We prove the consistency of "ℬ/I mz does not split" (see Notation). We write the proof so that with the standard duality, also the consistency of "ℬ/I tc does not split" (i.e., replacing measure zero by first category, random by generic, etc.) is proved. The method is the oracle chain condition.

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Lifting problem of the measure algebra

Abstract

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