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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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Measure-theoretic applications of higher Demuth’s Theorem
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by C. T. Chong and Liang Yu PDF
Trans. Amer. Math. Soc. 368 (2016), 8249-8265 Request permission

Abstract:

We investigate measure-theoretic aspects of various notions of reducibility by applying analogs of Demuth’s Theorem in the hyperarithmetic and set-theoretic settings.
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Additional Information
  • C. T. Chong
  • Affiliation: Department of Mathematics, Faculty of Science, National University of Singapore, 10 Lower Kent Ridge Road, Singapore 119076, Singapore
  • MR Author ID: 48725
  • Email: chongct@math.nus.edu.sg
  • Liang Yu
  • Affiliation: Institute of Mathematics, Nanjing University, 22 Hankou Road, Nanjing 210093, People’s Republic of China
  • MR Author ID: 725077
  • Email: yuliang.nju@gmail.com
  • Received by editor(s): August 6, 2014
  • Received by editor(s) in revised form: October 21, 2015, and December 2, 2015
  • Published electronically: April 15, 2016
  • Additional Notes: The first author was partially supported by NUS grant WBS 146-000-025-00
    The second author was partially supported by the National Natural Science Fund of China grant 11322112 and by the Humboldt Foundation.
  • © Copyright 2016 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 368 (2016), 8249-8265
  • MSC (2010): Primary 03D28, 03D30, 03D32, 03E15, 28A05
  • DOI: https://doi.org/10.1090/tran/6881
  • MathSciNet review: 3546799