26 citations · 136 across the 24 of their papers we have counts for
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math.AT2012★ 1 cited
Spaces of Topological Complexity One
Mark Grant, Gregory Lupton, John Oprea
We prove that a space whose topological complexity equals 1 is homotopy equivalent to some odd-dimensional sphere. We prove a similar result, although not in complete generality, f…
math.AT2012★ 7 cited
Topological complexity of motion planning in projective product spaces
Jesus Gonzalez, Mark Grant, Enrique Torres-Giese +1
We study Farber's topological complexity (TC) of Davis' projective product spaces (PPS's). We show that, in many non-trivial instances, the TC of PPS's coming from at least two sph…
math.AT2012★ 24 cited
Equivariant topological complexity
Hellen Colman, Mark Grant
We define and study an equivariant version of Farber's topological complexity for spaces with a given compact group action. This is a special case of the equivariant sectional cate…