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math.AT2015
Topological complexity of spatial polygon spaces
Donald M. Davis
Using known results about their integral cohomology ring, we prove that the topological complexity of the space of n-gons in R^3 with prescribed side lengths equals 2n-5, assuming…
math.AT2015
Topological complexity of some planar polygon spaces
Donald M. Davis
Using known results about their mod-2 cohomology ring, we prove that the topological complexity of the space of isometry classes of n-gons in the plane with one side of length r an…