MEASURE-THEORETIC APPLICATIONS OF HIGHER DEMUTH'S THEOREM

被引：0
作者：
Chong, C. T. [1 ]
Yu, Liang [2 ]
机构：
[1] Natl Univ Singapore, Fac Sci, Dept Math, 10 Lower Kent Ridge Rd, Singapore 119076, Singapore
[2] Nanjing Univ, Inst Math, 22 Hankou Rd, Nanjing 210093, Jiangsu, Peoples R China
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 368卷 / 11期
关键词：
PSEUDO-JUMP OPERATORS; RANDOMNESS; SET; LOWNESS;
D O I：
10.1090/tran/6881
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate measure-theoretic aspects of various notions of reducibility by applying analogs of Demuth's Theorem in the hyperarithmetic and set-theoretic settings.
引用
收藏
页码：8249 / 8265
页数：17
相关论文
共 32 条
  • [1] Bienvenu Laurent, PREPRINT
  • [2] Lowness of higher randomness notions
    Chong, C. T.
    Nies, Andre
    Yu, Liang
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 2008, 166 (01) : 39 - 60
  • [3] RANDOMNESS IN THE HIGHER SETTING
    Chong, C. T.
    Yu, Liang
    [J]. JOURNAL OF SYMBOLIC LOGIC, 2015, 80 (04) : 1131 - 1148
  • [4] Chong Chi Tat, 2015, DEGRUYTER SERIES LOG, V8
  • [5] Demuth Osvald, 1987, COMMENT MATH U CAROL, V28, P85
  • [6] Demuth Osvald, 1988, COMMENTATIONES MATH, V29, P233
  • [7] Downey RG, 2010, THEOR APPL COMPUT, P401, DOI 10.1007/978-0-387-68441-3
  • [8] Feferman S., 1965, Fundamenta Mathematicae, V56, P325
  • [9] Randomness via effective descriptive set theory
    Hjorth, Greg
    Nies, Andre
    [J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2007, 75 : 495 - 508
  • [10] Jech T., 2003, Set Theory
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