Borel orderings

Leo Harrington; David Marker; Saharon Shelah

doi:10.1090/S0002-9947-1988-0965754-3

Borel orderings

Leo Harrington, David Marker, Saharon Shelah

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

40 Scopus citations

Abstract

We show that any Borel linear order can be embedded in an order preserving way into 2a for some countable ordinal a and that any thin Borel partial order can be written as a union of countably many Borel chains.

Original language	English
Pages (from-to)	293-302
Number of pages	10
Journal	Transactions of the American Mathematical Society
Volume	310
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9947-1988-0965754-3
State	Published - Nov 1988
Externally published	Yes

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10.1090/S0002-9947-1988-0965754-3

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abstract = "We show that any Borel linear order can be embedded in an order preserving way into 2a for some countable ordinal a and that any thin Borel partial order can be written as a union of countably many Borel chains.",

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Borel orderings

Abstract

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