Hacettepe Journal of Mathematics and Statistics, ( ISI ), Volume (52), No (3), Year (2023-5) , Pages (572-584)

Title : ( On the targeted complexity of a map )

Authors: seyyed abolfazl aghili , Bibi Hanieh Mirebrahimi Paziquee , Ameneh Babaee ,

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Abstract

We study the topological complexity of work maps with respect to some subspaces of the configuration space and a workspace considered as the target set of the motion of robots. The motivation is to optimize and reduce the number of motion planners for work maps. In this regard, we focus on the useful set of works. We check some basic properties of the targeted complexity of maps, such as homotopical invariance, reduction, the product of maps, and so on. Then we compare these targeted complexities, and we find some inequalities in reducing the number of motion planners. We show that the relative topological complexity of pair of spaces defined by Short is a special case of the targeted complexity of work maps.

Keywords

, Topological complexity, work map, configuration space, motion planning
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@article{paperid:1097526,
author = {Aghili, Seyyed Abolfazl and Mirebrahimi Paziquee, Bibi Hanieh and امنه بابایی},
title = {On the targeted complexity of a map},
journal = {Hacettepe Journal of Mathematics and Statistics},
year = {2023},
volume = {52},
number = {3},
month = {May},
issn = {1303-5010},
pages = {572--584},
numpages = {12},
keywords = {Topological complexity; work map; configuration space; motion planning},
}

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%0 Journal Article
%T On the targeted complexity of a map
%A Aghili, Seyyed Abolfazl
%A Mirebrahimi Paziquee, Bibi Hanieh
%A امنه بابایی
%J Hacettepe Journal of Mathematics and Statistics
%@ 1303-5010
%D 2023

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