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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 1, Pages 67–74 (Mi ivm9320)  
This article is cited in 2 scientific papers (total in 2 papers)

Computable linear orders and the Ershov hierarchy

Ya. A. Mikhailovskaya, A. N. Frolov

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Full-text PDF (193 kB) Citations (2)
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Abstract: We give the collection of relations on computable linear orders. For any natural number $n$, the degree spectrum of some such relation contains exactly all $n$-computable enumerable degrees. We also study interconnections of these relations among themselves.
Keywords: computable linear orders, the degree spectrum of relations, $n$-computable enumerable degrees.
Funding agency Grant number
Russian Foundation for Basic Research 16-31-60077_а
Received: 19.10.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 1, Pages 58–64
DOI: https://doi.org/10.3103/S1066369X18010085
Bibliographic databases:
Document Type: Article
UDC: 510.53
Language: Russian
Citation: Ya. A. Mikhailovskaya, A. N. Frolov, “Computable linear orders and the Ershov hierarchy”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 1, 67–74; Russian Math. (Iz. VUZ), 62:1 (2018), 58–64
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:25
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