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|Title:||Highness, locally noncappability and nonboundings||Authors:||Stephan, F.
|Keywords:||Locally noncappable degrees
Recursively enumerable degrees
|Issue Date:||May-2013||Citation:||Stephan, F., Wu, G. (2013-05). Highness, locally noncappability and nonboundings. Annals of Pure and Applied Logic 164 (5) : 511-522. ScholarBank@NUS Repository. https://doi.org/10.1016/j.apal.2012.11.008||Abstract:||In this paper, we improve a result of Seetapun and prove that above any nonzero, incomplete recursively enumerable (r.e.) degree a, there is a high2 r.e. degree c>a witnessing that a is locally noncappable (Theorem 1.1). Theorem 1.1 provides a scheme of obtaining high2 nonboundings (Theorem 1.6), as all known high2 nonboundings, such as high2 degrees bounding no minimal pairs, high2 plus-cuppings, etc. © 2012 Elsevier B.V..||Source Title:||Annals of Pure and Applied Logic||URI:||http://scholarbank.nus.edu.sg/handle/10635/103374||ISSN:||01680072||DOI:||10.1016/j.apal.2012.11.008|
|Appears in Collections:||Staff Publications|
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