On 1-Degrees Inside m -Degrees

dc.contributor.author	Batyrshin I.I.
dc.date.accessioned	2022-02-09T20:43:03Z
dc.date.available	2022-02-09T20:43:03Z
dc.date.issued	2021
dc.identifier.issn	1995-0802
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/169780
dc.description.abstract	Abstract: We study the structure of 1-degrees inside m-degrees and prove that every ∆02m-degree that has more than one 1-degree contains an infinite antichain of 1-degrees. This strengthens Degtev’s result on computably enumerable m-degrees and gives partial answer to the following question stated by Odifreddi: if an m-degree has more than one 1-degree, does it contain an infinite antichain of 1-degrees? The proved result demonstrates that the answer is positive for ∆02m-degrees.
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.subject	1-degrees
dc.subject	m-degrees
dc.title	On 1-Degrees Inside m -Degrees
dc.type	Article
dc.relation.ispartofseries-issue	12
dc.relation.ispartofseries-volume	42
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	2740
dc.source.id	SCOPUS19950802-2021-42-12-SID85121398064

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Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.