5 citations · 14 across the 19 of their papers we have counts for
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math.AT2017
A lower bound for higher topological complexity of real projective space
Donald M Davis
We obtain an explicit formula for the best lower bound for the higher topological complexity, TC_k(P^n), of real projective space implied by mod 2 cohomology.
math.AT2017★ 1 cited
n-dimensional Klein bottles
Donald M. Davis
An n-dimensional analogue of the Klein bottle arose in our study of topological complexity of planar polygon spaces. We determine its integral cohomology algebra and stable homotop…
math.AT2017★ 5 cited
The symmetrized topological complexity of the circle
Donald M Davis
We determine the symmetrized topological complexity of the circle, using primarily just general topology.