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math.AT2023
Topological complexity of Khalimsky circles
Ryusei Yoshise
We determine topological complexity of a series of finite spaces which is weakly homotopy equivalent to a circle , and give a finite space satisfying the inequality tc$(X)…
math.AT2021
Jacobi identity in polyhedral products
Daisuke Kishimoto, Takahiro Matsushita, Ryusei Yoshise
We show that a relation among minimal non-faces of a fillable complex yields an identity of iterated (higher) Whitehead products in a polyhedral product over . In particular…