A weak generalization of MA to higher cardinals

S. Shelah

doi:10.1007/BF02761994

A weak generalization of MA to higher cardinals

S. Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

48 Scopus citations

Abstract

We generalized MA e.g., to א₁-complete forcing, by strengthening the א₂-C.C. condition which occurs in many proofs. We show some consequences of MA generalized, and show that we get a model of ZFC in which the modadic theory of ω₂ is decidable.

Original language	English
Pages (from-to)	297-306
Number of pages	10
Journal	Israel Journal of Mathematics
Volume	30
Issue number	4
DOIs	https://doi.org/10.1007/BF02761994
State	Published - Dec 1978

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abstract = "We generalized MA e.g., to א1-complete forcing, by strengthening the א2-C.C. condition which occurs in many proofs. We show some consequences of MA generalized, and show that we get a model of ZFC in which the modadic theory of ω 2 is decidable.",

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A weak generalization of MA to higher cardinals

Abstract

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