Measure and cupping in the Turing degrees
Barmpalias, G. & Lewis-Pye, A.
(2012).
Measure and cupping in the Turing degrees.
Proceedings of the American Mathematical Society,
140(10), 3607-3622.
https://doi.org/10.1090/S0002-9939-2012-11183-9
We answer a question of Jockusch by showing that the measure of the Turing degrees that satisfy the cupping property is 0. In fact, every 2-random degree has a strong minimal cover and so fails to satisfy the cupping property.
| Item Type | Article |
|---|---|
| Copyright holders | © 2012 American Mathematical Society |
| Departments | LSE > Academic Departments > Mathematics |
| DOI | 10.1090/S0002-9939-2012-11183-9 |
| Date Deposited | 06 Aug 2013 |
| URI | https://researchonline.lse.ac.uk/id/eprint/51446 |
Explore Further
- https://www.scopus.com/pages/publications/84862875188 (Scopus publication)
- http://www.ams.org/publications/journals/journalsf... (Official URL)