PCF without choice

Saharon Shelah

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arXiv · math/0510229

PCF without choice

Saharon Shelah

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Abstract

We mainly investigate model of set theory with restricted choice, e.g., ZF + DC + "the family of countable subsets of lambda is well ordered for every lambda" (really local version for a given lambda). In this frame much of pcf theory can be generalized. E.g., there is a class of regular cardinals, and we can prove cardinal inequality.

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BibTeX RIS

Saharon Shelah. 2019-01-28. PCF without choice. https://arxiv.org/abs/math/0510229

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