3 papers
math.AT2026
Topological complexity sequences of groups
Daisuke Kishimoto, Yuki Minowa
We define the topological complexity sequence of a group as the sequence of topological complexities of its Milnor constructions. This sequence may be regarded as an intrinsic refi…
math.AT2026
On the topological complexity of non-simply connected spaces
Yuki Minowa
Topological complexity is a numerical homotopy invariant that measures the instability of motion planning in a space. To study the topological complexity of non-simply connected sp…
math.AT2025
Rational sequential parametrized topological complexity
Yuki Minowa
Sequential parametrized topological complexity is a numerical homotopy invariant of a fibration, which arose in the robot motion planning problem with external constraints. In this…