The Structures Inside Turing Degrees of Recursively Enumerable Generic Sets

Jockusch and Ingrassia introduced notions of e-genericity, s-genericity and p-genericity for recursively enumerable sets in 1985 and 1980 respectively. It has been shown that there are many important properties of recursively enumerable generic sets and degrees. We have investigated the structures of wtt-degrees inside recursively enumerable p-generic Turing degrees and proved that every r.e. p-ge…