Initial Segments of Degrees Below $\underline {0}^\prime $
Download or Read eBook Initial Segments of Degrees Below $\underline {0}^\prime $ PDF written by Richard L. Epstein and published by American Mathematical Soc.. This book was released on 1981 with total page 112 pages. Available in PDF, EPUB and Kindle.
Author | : Richard L. Epstein |
Publisher | : American Mathematical Soc. |
Total Pages | : 112 |
Release | : 1981 |
ISBN-10 | : 9780821822418 |
ISBN-13 | : 0821822411 |
Rating | : 4/5 (18 Downloads) |
Book Synopsis Initial Segments of Degrees Below $\underline {0}^\prime $ by : Richard L. Epstein
Book excerpt: We prove two main results: (1) [lowercase Greek]Omega + 1 is an initial segment of the degrees ([less-than or equal to]≤ a̲ for any r.e. a̲ [not equal to] 0̲ , and (2) given any 0̲ [less than] a̲ [less than] h̲ where a̲ and h̲ are r.e. and h̲ is high, there is a minimal degree m̲ [less than] h̲ such that m̲ [set-theoretic union] a̲ = h̲.