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Borel orderings. (English) Zbl 0707.03042

Summary: We show that any Borel linear order can be embedded in an order preserving way into \(2^{\alpha}\) for some countable ordinal \(\alpha\) and that any thin Borel partial order can be written as a union of countably many Borel chains.

MSC:

03E15 Descriptive set theory
Full Text: DOI

References:

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