The hypersimple-free c.e. wtt degrees are dense in the c.e. wtt degrees
Barmpalias, G. & Lewis-Pye, A.
(2006).
The hypersimple-free c.e. wtt degrees are dense in the c.e. wtt degrees.
Notre Dame Journal of Formal Logic,
47(3), 361-370.
https://doi.org/10.1305/ndjfl/1163775443
We show that in the c.e. weak truth table degrees if b < c then there is an a which contains no hypersimple set and b < a < c. We also show that for every w < c in the c.e. wtt degrees such that w is hypersimple, there is a hypersimple a such that w < a < c. On the other hand, we know that there are intervals which contain no hypersimple set.
| Item Type | Article |
|---|---|
| Copyright holders | © 2006 University of Notre Dame |
| Departments | LSE > Academic Departments > Mathematics |
| DOI | 10.1305/ndjfl/1163775443 |
| Date Deposited | 06 Aug 2013 |
| URI | https://researchonline.lse.ac.uk/id/eprint/51422 |
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