4 papers
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…
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…
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…
Parametrized topological complexity of spherical fibrations over spheres
Yuki Minowa
Parametrized topological complexity is a homotopy invariant that represents the degree of instability of motion planning problem that involves external constraints. We consider the…