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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Borel orderings
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by Leo Harrington, David Marker and Saharon Shelah PDF
Trans. Amer. Math. Soc. 310 (1988), 293-302 Request permission

Abstract:

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.
References
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 310 (1988), 293-302
  • MSC: Primary 03E15; Secondary 04A15
  • DOI: https://doi.org/10.1090/S0002-9947-1988-0965754-3
  • MathSciNet review: 965754