Any Fip Real Computes a 1-generic
نویسندگان
چکیده
We construct a computable sequence of computable reals 〈Xi〉 such that any real that can compute a subsequence that is maximal with respect to the finite intersection property can also compute a Cohen 1-generic. This is extended to establish the same result with 2IP in place of FIP.
منابع مشابه
Every 1-generic computes a properly 1-generic
A real is called properly n-generic if it is n-generic but not n + 1generic. We show that every 1-generic real computes a properly 1-generic real. On the other hand, if m > n > 2 then an m-generic real cannot compute a properly n-generic real.
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