Kota Takeuchi

activity

20142026

most citedOn n-dependence

19 citations · 19 across the 3 of their papers we have counts for

collaborators

4 papers

math.LO2026

Existence of a Model Companion for Groups of Exponent 3

Yawara Ishida, Ryosuke Mizuno, Kota Takeuchi

In this article, we prove that the theory $T_{3}$ of groups of exponent $3$ has a model companion. Previous work established the existence of model companions for theories of groups…

hep-th2023

Approach to the arbitrariness problem of boundary conditions in $S^{1} / Z_{2}$ brane-world models

Kota Takeuchi, Tomohiro Inagaki

We study the arbitrariness of boundary conditions (BCs) on $S^{1} / Z_{2}$ brane-world models with the gauge group $U (N)$ . The BCs are chosen independently on the branes and the bulk in…

math.LO2020

On the number of independent orders

Kota Takeuchi, Akito Tsuboi

We investigate a model theoretic invariant $κ_{sr d}^{m} (T)$ , which was introduced by Shelah in his famous book, and prove that $κ_{sr d}^{m} (T)$ is sub-additive. When $κ_{sr d}^{m} (T)$ is…

math.LO2014★ 19 cited

On n-dependence

Artem Chernikov, Daniel Palacin, Kota Takeuchi

In this note we develop and clarify some of the basic combinatorial properties of the new notion of $n$ -dependence (for $1 \leq n < ω$ ) recently introduced by Shelah. In the same wa…

Existence of a Model Companion for Groups of Exponent 3

Approach to the arbitrariness problem of boundary conditions in S1/Z2​ brane-world models

On the number of independent orders

On n-dependence

Approach to the arbitrariness problem of boundary conditions in $S^{1} / Z_{2}$ brane-world models