Geodesic
Splitting of 2-computably enumerable degrees with avoiding cones
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2009), pp. 76-80

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In this paper we show that for any pair of properly 2-c. e. degrees $\mathbf0\mathbf d\mathbf a$ such that there are no c. e. degrees between $\mathbf d$ and $\mathbf a$, the degree $\mathbf a$ is splittable in the class of 2-c. e. degrees avoiding the upper cone of $\mathbf d$. We also study the possibility to characterize such an isolation in terms of splitting.
Keywords: 2-c. e. degrees, Turing degrees, splitting, splitting with avoiding cones, isolation. 
@article{IVM_2009_6_a11,
     author = {M. M. Yamaleev},
     title = {Splitting of 2-computably enumerable degrees with avoiding cones},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {76--80},
     publisher = {mathdoc},
     number = {6},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_6_a11/}
}
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M. M. Yamaleev. Splitting of 2-computably enumerable degrees with avoiding cones. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2009), pp. 76-80. http://geodesic.mathdoc.fr/item/IVM_2009_6_a11/