球面上球形纤维的参数拓扑复杂性

arXiv - MATH - Algebraic Topology Pub Date : 2024-06-25 DOI:arxiv-2406.17227

Yuki Minowa

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引用次数: 0

摘要

参数拓扑复杂性是一种同调不变量，它代表了涉及外部约束的运动规划问题的不稳定程度。我们考虑了球面纤度情况下的参数化拓扑复杂度。我们明确计算了弱范畴的下限，并确定了某些球面纤维的参数化拓扑复杂性。

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Parametrized topological complexity of spherical fibrations over spheres

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.

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arXiv - MATH - Algebraic Topology

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