Parametrized topological complexity of poset-stratified spaces

被引：1
|
作者：
Tanaka K. [1 ]
机构：
[1] Institute of Social Sciences, School of Humanities and Social Sciences, Academic Assembly, Shinshu University, 3-3-1 Asahi, Nagano, Matsumoto
来源：
Journal of Applied and Computational Topology | 2022年 / 6卷 / 2期
基金：
日本学术振兴会;
关键词：
Fiberwise space; Parametrized topological complexity; Poset-stratified space; Robot motion planning;
D O I：
10.1007/s41468-021-00085-z
中图分类号：
学科分类号：
摘要：
In this paper, parametrized motion planning algorithms for a fiberwise space X→ P over a poset P are studied. Such an algorithm assigns paths in a space X decomposed into subspaces with the index set P, that do not cross the boundaries of the separated regions. We compute the parametrized topological complexity of X→ P, which is one less than the minimal number of local parametrized motion planning algorithms used for designing non-cross-border robot motions in X. © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
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页码：221 / 246
页数：25
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