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The axiom of countable choice for reals is one of the most basic fragments ofthe axiom of choice needed in many parts of mathematics. Descriptive choiceprinciples are a further stratification of this fragment by the descriptivecomplexity of the sets. In this paper, we provide a separation technique fordescriptive choice principles based on Jensen forcing. Our results generalise atheorem by Kanovei.

Descriptive Choice Principles and How to Separate Them