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arXiv · 1502.03785

Any FIP real computes a 1-generic

Peter Cholak·Rod Downey·Greg Igusa
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Abstract

We construct a computable sequence of computable reals $\langle X_i\rangle$ 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.

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Peter Cholak, Rod Downey, Greg Igusa. 2015-02-12. Any FIP real computes a 1-generic. https://arxiv.org/abs/1502.03785

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