Geodesic
A note on $\Delta_2^0$-spectra of linear orderings and degree spectra of the successor relation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2013), pp. 74-78

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In this paper we construct linear orderings whose $\Delta_2^0$-spectra coincide with classes of all high$_0$ and high$_1$ degrees, respectively. We also prove that there exists a computable linear ordering such that its degree spectrum of the successor relation coincides with a fixed nonempty class of degrees which represents a $\Sigma_1^0$-spectrum of some $\emptyset'$-computable linear ordering.
Keywords: linear orderings, degree spectra of the successor relation.
Mots-clés : spectra 
@article{IVM_2013_11_a6,
     author = {A. N. Frolov},
     title = {A note on $\Delta_2^0$-spectra of linear orderings and degree spectra of the successor relation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {74--78},
     publisher = {mathdoc},
     number = {11},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_11_a6/}
}
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A. N. Frolov. A note on $\Delta_2^0$-spectra of linear orderings and degree spectra of the successor relation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2013), pp. 74-78. http://geodesic.mathdoc.fr/item/IVM_2013_11_a6/