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Directed topological complexity of spheres

2018/09/30 by Ayse Borat, Borat, Ayse, Mark Grant +1
Mathematics · #54F05 #55S40 (Primary) #68T40 #70Q05 (Secondary) #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT #msc:54F05 #msc:55S40 #msc:68T40 #msc:70Q05

paper · pdf · doi:10.48550/arxiv.1810.00339

6 pages, 1 figure. v2: To appear in the Journal of Applied and Computational Topology

arxiv created 2019/08/05 · arxiv updated 2019/08/06

Abstract

We show that the directed topological complexity (as defined by E. Goubault) of the directed n-sphere is 2, for all n≥1.

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