Skip to main content
11 events
when toggle format what by license comment
Dec 31, 2018 at 23:28 answer added Dmytro Taranovsky timeline score: 1
Oct 6, 2015 at 22:48 comment added Archimondain Why cannot we apply the same argument to trees computable in Kleene's $O$ (given that Kleene's $O$ is arithmetical in $r$) ?
S Sep 18, 2015 at 22:47 history bounty ended CommunityBot
S Sep 18, 2015 at 22:47 history notice removed CommunityBot
S Sep 10, 2015 at 21:30 history bounty started Noah Schweber
S Sep 10, 2015 at 21:30 history notice added Noah Schweber Draw attention
Sep 8, 2015 at 2:22 comment added François G. Dorais For the benefit of those who haven't read Blass's paper, he shows that the (1) every hyperarithmetic real is computable in every Hechler generic and (2) the only reals that are computable in every Hechler generic are the hyperarithmetic reals.
Sep 8, 2015 at 2:12 comment added François G. Dorais Blass addresses a different question but the paper does have the right tools and references. What you're asking is significantly harder, as far as I know. Maybe you'll also need something like the Baumgartner-Dordal analysis of Hechler forcing to get the right density arguments.
Sep 8, 2015 at 2:04 comment added Noah Schweber I've read that paper - I don't immediately see how it addresses the question? (I'm probably missing something obvious.)
Sep 8, 2015 at 2:02 comment added François G. Dorais This is not easy to work through. You need some classic results of Solovay and Jockusch on "introreducibility". See Andreas Blass's paper Needed Reals and Recursion in Generic Reals [APAL 109 (2001), 77-88].
Sep 8, 2015 at 1:35 history asked Noah Schweber CC BY-SA 3.0