Geodesic
Computable linear orders and the Ershov hierarchy
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2018), pp. 67-74

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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. 
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     author = {Ya. A. Mikhailovskaya and A. N. Frolov},
     title = {Computable linear orders and the {Ershov} hierarchy},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
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     publisher = {mathdoc},
     number = {1},
     year = {2018},
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     url = {http://geodesic.mathdoc.fr/item/IVM_2018_1_a7/}
}
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Ya. A. Mikhailovskaya; A. N. Frolov. Computable linear orders and the Ershov hierarchy. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2018), pp. 67-74. http://geodesic.mathdoc.fr/item/IVM_2018_1_a7/