Linus Richter

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math.LO2026

Chains and Antichains inside Many-One Degrees and Variants

Linus Richter, Frank Stephan, Xiaoyan Zhang

The relations between many-one degrees and one-one degrees have been studied since the beginning of recursion theory; early results from the 1960s include that many-one degrees alw…

math.LO2025

All Borel Group Extensions of Finite-Dimensional Real Space Are Trivial

Linus Richter

For $N \geq 2$ , we study the structure of definable abelian group extensions of the additive group $(R^{N}, +)$ by countable abelian (Borel) groups $G$ . Given an extension $H…