标题： 球面纤维丛在球面上的参数化拓扑复杂度 显示英文标题

标题： Parametrized topological complexity of spherical fibrations over spheres

摘要： 参数化拓扑复杂度是一个同伦不变量，表示涉及外部约束的运动规划问题的不稳定性程度。 我们考虑在球面上的球面纤维丛情况下的参数化拓扑复杂度。 我们显式计算了弱范畴的下界，并确定了一些球面纤维丛的参数化拓扑复杂度。 显示英文摘要

摘要： Parametrized topological complexity is a homotopy invariant that represents the degree of instability of motion planning problem that involves external constraints. We consider the parametrized topological complexity in the case of spherical fibrations over spheres. We explicitly compute a lower bound in terms of weak category and determine the parametrized topological complexity of some spherical fibrations.