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Motion planning in spaces with small fundamental groups
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Costa, Armindo and Farber, Michael (2010) Motion planning in spaces with small fundamental groups. Communications in Contemporary Mathematics, Vol.12 (No.1). pp. 107-119. doi:10.1142/S0219199710003750 ISSN 0219-1997.
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Official URL: http://dx.doi.org/10.1142/S0219199710003750
Abstract
We establish sharp upper bounds for the topological complexity TC(X) of motion planning algorithms in topological spaces X such that the fundamental group is "small", i.e. when π1(X) is cyclic of order ≤ 3 or has small cohomological dimension.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Communications in Contemporary Mathematics | ||||
Publisher: | World Scientific Publishing Co. Pte. Ltd. | ||||
ISSN: | 0219-1997 | ||||
Official Date: | February 2010 | ||||
Dates: |
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Volume: | Vol.12 | ||||
Number: | No.1 | ||||
Page Range: | pp. 107-119 | ||||
DOI: | 10.1142/S0219199710003750 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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