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| almost universal cupping and diamond embeddings | |
| Liu Jiang; Wu Guohua | |
| 2012 | |
| Source | ANNALS OF PURE AND APPLIED LOGIC
 |
| ISSN | 0168-0072 |
| Volume | 163Issue:6Pages:717-729 |
| English Abstract | 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. (c) 2011 Elsevier B.V. All rights reserved.; 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. (c) 2011 Elsevier B.V. All rights reserved. |
| Indexed Type | SCI |
| Keyword | Turing Degrees Ershov Hierarchy Diamond Embeddings Almost Universal Cupping Property |
| Department | Wu Guohua Nanyang Technol Univ Div Math Sci Sch Phys & Math Sci Singapore 637371 Singapore. Liu Jiang Chinese Acad Sci Inst Software State Key Lab Comp Sci Beijing 100190 Peoples R China. |
| Subject | Mathematics ; Science & Technology - Other Topics |
| Sponsorship | AcRF RG37/09, M52110101; MOE of Singapore ARC17/11, M45110030; NSFC-90718041; NSFC-60736017; NSFC-60970031; YIGH-405070 |
| Language | 英语 |
| WOS ID | WOS:000301611300008 |
| Citation statistics | |
| Content Type | 期刊论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/15078 |
| Collection | 中国科学院软件研究所 |
| Recommended Citation GB/T 7714 | Liu Jiang,Wu Guohua. almost universal cupping and diamond embeddings[J]. ANNALS OF PURE AND APPLIED LOGIC,2012,163(6):717-729. |
| APA | Liu Jiang,&Wu Guohua.(2012).almost universal cupping and diamond embeddings.ANNALS OF PURE AND APPLIED LOGIC,163(6),717-729. |
| MLA | Liu Jiang,et al."almost universal cupping and diamond embeddings".ANNALS OF PURE AND APPLIED LOGIC 163.6(2012):717-729. |
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