arXiv Open Access 2023

Descriptive Choice Principles and How to Separate Them

Lucas Wansner Ned J H Wontner

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Abstrak

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

Topik & Kata Kunci

math.LO

Penulis (2)

Lucas Wansner

Ned J H Wontner

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Wansner, L., Wontner, N.J.H. (2023). Descriptive Choice Principles and How to Separate Them. https://arxiv.org/abs/2307.09837

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓