2 papers
math.LO2026
Dimension of Generic Reals
Yiping Miao
This paper investigates the Hausdorff measure of certain sets of generics in computability theory. Let be the Turing ideal in which we take the dense open sets. The set of $Î…
math.LO2026
A Comparison of Gauge Dimension and Effective Dimension
Yiping Miao
We characterize the gauge profile of , the set of reals with effective dimension , and , the set of reals with effective dimension .…