| Title | SOME RESULTS ON THE UPPER-SEMILATTICE OF R.E. $m$-DEGREES INSIDE A SINGLE R.E. $tt$-DEGREE |
| Publication Type | Journal Article |
| Year of Publication | 2004 |
| Authors | Ditchev A |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 96 |
| Keywords | m-degrees, tt-degrees, upper semilattice |
| Abstract | In this paper it is shown that: 1) There exists such a tt-degree which contains infinitely many m-degrees of the type of $\omega^k$ for any positive natural number k; 2) There exists such a $tt$-degree which contains infinitely many m-degrees of the type of $\mathbb{Q}$ of rational numbers. |
| 2000 MSC | 03D25, 03D30, 03D45, 03C57 |
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 0396.pdf | 28.61 KB |
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| 96-023-034.pdf | 1010.04 KB |