Almost universal cupping and diamond embeddings
In this paper, we study the cupping property in the d.r.e. degrees, and prove the existence of a d.r.e. degrees d with almost universal cupping property and nonzero r.e. degrees b<d and a such that b isolates d in the d.r.e. degrees, and b and a form a minimal pair. As a corollary, we have that f...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2013
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| Online Access: | https://hdl.handle.net/10356/98459 http://hdl.handle.net/10220/12486 |
| _version_ | 1824457000365326336 |
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| author | Liu, Jiang Wu, Guohua |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Liu, Jiang Wu, Guohua |
| author_sort | Liu, Jiang |
| collection | NTU |
| description | In this paper, we study the cupping property in the d.r.e. degrees, and prove the existence of a d.r.e. degrees d with almost universal cupping property and nonzero r.e. degrees b<d and a such that b isolates d in the d.r.e. degrees, and b and a form a minimal pair. As a corollary, we have that for any nonzero r.e. degree c≤a and incomplete d.r.e. degree e≥d, 0,c,e and 0′ form a diamond embedding in the d.r.e. degrees. |
| first_indexed | 2025-02-19T04:03:02Z |
| format | Journal Article |
| id | ntu-10356/98459 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2025-02-19T04:03:02Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/984592020-03-07T12:34:47Z Almost universal cupping and diamond embeddings Liu, Jiang Wu, Guohua School of Physical and Mathematical Sciences In this paper, we study the cupping property in the d.r.e. degrees, and prove the existence of a d.r.e. degrees d with almost universal cupping property and nonzero r.e. degrees b<d and a such that b isolates d in the d.r.e. degrees, and b and a form a minimal pair. As a corollary, we have that for any nonzero r.e. degree c≤a and incomplete d.r.e. degree e≥d, 0,c,e and 0′ form a diamond embedding in the d.r.e. degrees. 2013-07-29T07:33:45Z 2019-12-06T19:55:26Z 2013-07-29T07:33:45Z 2019-12-06T19:55:26Z 2011 2011 Journal Article Liu, J., & Wu, G. (2012). Almost universal cupping and diamond embeddings. Annals of Pure and Applied Logic, 163(6), 717-729. 0168-0072 https://hdl.handle.net/10356/98459 http://hdl.handle.net/10220/12486 10.1016/j.apal.2011.11.005 en Annals of pure and applied logic © 2011 Elsevier B.V. |
| spellingShingle | Liu, Jiang Wu, Guohua Almost universal cupping and diamond embeddings |
| title | Almost universal cupping and diamond embeddings |
| title_full | Almost universal cupping and diamond embeddings |
| title_fullStr | Almost universal cupping and diamond embeddings |
| title_full_unstemmed | Almost universal cupping and diamond embeddings |
| title_short | Almost universal cupping and diamond embeddings |
| title_sort | almost universal cupping and diamond embeddings |
| url | https://hdl.handle.net/10356/98459 http://hdl.handle.net/10220/12486 |
| work_keys_str_mv | AT liujiang almostuniversalcuppinganddiamondembeddings AT wuguohua almostuniversalcuppinganddiamondembeddings |