Geodesic
Limitwise monotonic spectra of $\Sigma^0_2$-sets
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 2, pp. 107-116

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In this paper, we study classes of Turing degrees, contained in limitwise monotonic spectra. In particular, we prove that limitwise monotonic spectra of $\Sigma^0_2$-sets are co-meager. Moreover, we construct a $\Sigma^0_2$-set whose limitwise monotonic spectrum is co-null.
Keywords: computable functions, $\Sigma^0_2$-sets, limitwise monotonic functions, Turing degrees. 
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     title = {Limitwise monotonic spectra of $\Sigma^0_2$-sets},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     publisher = {mathdoc},
     volume = {154},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2012_154_2_a10/}
}
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I. Sh. Kalimullin; M. Kh. Faizrakhmanov. Limitwise monotonic spectra of $\Sigma^0_2$-sets. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 2, pp. 107-116. http://geodesic.mathdoc.fr/item/UZKU_2012_154_2_a10/