6 citations · 52 across the 26 of their papers we have counts for
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math.LO2013★ 1 cited
Inside the Muchnik Degrees II: The Degree Structures induced by the Arithmetical Hierarchy of Countably Continuous Functions
Kojiro Higuchi, Takayuki Kihara
It is known that infinitely many Medvedev degrees exist inside the Muchnik degree of any nontrivial subset of Cantor space. We shed light on the fine structures inside thes…
math.LO2013★ 6 cited
Decomposing Borel functions using the Shore-Slaman join theorem
Takayuki Kihara
Jayne and Rogers proved that every function from an analytic space into a separable metric space is decomposable into countably many continuous functions with closed domains if and…