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arXiv · 1510.08724

Effective topological complexity of spaces with symmetries

Zbigniew Błaszczyk·Marek Kaluba
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Abstract

We introduce a version of Farber's topological complexity suitable for investigating mechanical systems whose configuration spaces exhibit symmetries. Our invariant has vastly different properties to the previous approaches of Colman-Grant, Dranishnikov and Lubawski-Marzantowicz. In particular, it is bounded from above by Farber's topological complexity.

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Zbigniew Błaszczyk, Marek Kaluba. 2016-07-02. Effective topological complexity of spaces with symmetries. https://doi.org/10.5565/publmat6211803

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