Takayuki Kihara

activity

20112026

most citedDecomposing Borel functions using the Shore-Slaman join theorem

6 citations · 52 across the 26 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

cs.LO2018★ 4 cited

Searching for an analogue of ATR in the Weihrauch lattice

Takayuki Kihara, Alberto Marcone, Arno Pauly

There are close similarities between the Weihrauch lattice and the zoo of axiom systems in reverse mathematics. Following these similarities has often allowed researchers to transl…

math.LO2018★ 1 cited

Decomposing functions of Baire class $2$ on Polish spaces

Longyun Ding, Takayuki Kihara, Brian Semmes +1

We prove the Decomposability Conjecture for functions of Baire class $2$ on a Polish space to a separable metrizable space. This partially answer an important open problem in descr…

math.LO2018★ 1 cited

On a metric generalization of the $tt$ -degrees and effective dimension theory

Takayuki Kihara

In this article, we study an analogue of $tt$ -reducibility for points in computable metric spaces. We characterize the notion of the metric $tt$ -degree in the context of first-leve…

Searching for an analogue of ATR in the Weihrauch lattice

Decomposing functions of Baire class 2 on Polish spaces

On a metric generalization of the tt-degrees and effective dimension theory

Decomposing functions of Baire class $2$ on Polish spaces

On a metric generalization of the $tt$ -degrees and effective dimension theory