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math.AT2015★ 8 cited
Effective topological complexity of spaces with symmetries
Zbigniew Błaszczyk, Marek Kaluba
We introduce a version of Farber's topological complexity suitable for investigating mechanical systems whose configuration spaces exhibit symmetries. Our invariant has vastly diff…
math.AT2015★ 5 cited
On equivariant and invariant topological complexity of smooth -spheres
Zbigniew Błaszczyk, Marek Kaluba
We investigate equivariant and invariant topological complexity of spheres endowed with smooth non-free actions of cyclic groups of prime order. We prove that semilinear $\mathbb{Z…