id author title date pages extension mime words sentence flesch summary cache txt q237hq4084w Joshua A. Cole On the elementary theories of the Muchnik and Medvedev lattices of Π01 classes 2009 .txt text/plain 271 10 61 We define Ps to be the collection of ≡s degrees of nonempty Π01 subsets of 2ω (Cantor space); similarly, we define Pw to be the collection of ≡w degrees of nonempty Π01 subsets of 2ω. An important open question is whether Pw is dense. cache/q237hq4084w.txt txt/q237hq4084w.txt