5 papers · 1 filter
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…
Homotopy commutativity in symmetric spaces
Daisuke Kishimoto, Yuki Minowa, Toshiyuki Miyauchi +1
We extend the former results of Ganea and the two of the authors with Takeda on the homotopy commutativity of the loop spaces of Hermitian symmetric spaces such that the loop space…