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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

There are $2^{\aleph_{0}}$ many $H$-degrees in the random reals


Authors: Liang Yu and Decheng Ding
Journal: Proc. Amer. Math. Soc. 132 (2004), 2461-2464
MSC (2000): Primary 03D25
Published electronically: March 25, 2004
MathSciNet review: 2052426
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Abstract: We prove that there are $2^{\aleph_{0}}$ many $H$-degrees in the random reals.


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Additional Information

Liang Yu
Affiliation: Department of Mathematics, Nanjing University, Nanjing, Jiang Su, China
Email: yuliang@mcs.vuwa.ac.nz

Decheng Ding
Affiliation: Department of Mathematics, Nanjing University, Nanjing, Jiang Su, China
Email: dcding@nju.edu.cn

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07417-9
PII: S 0002-9939(04)07417-9
Received by editor(s): April 17, 2003
Received by editor(s) in revised form: May 28, 2003
Published electronically: March 25, 2004
Additional Notes: We thank Professor Rodney Downey for his nice comments. Both of the authors are supported by NSF of China No.19931020, 60310213 and the Ph.D. project of the State Education Ministry of China. The first author is also supported by a postdoctoral fellowship of the New Zealand Institute for Mathematics and its Applications, Centre of Research Excellence.
Communicated by: Carl G. Jockusch, Jr.
Article copyright: © Copyright 2004 American Mathematical Society