Effective topological complexity of spaces with symmetries
classification
🧮 math.AT
keywords
complexitytopologicalfarberspacessymmetriesaboveapproachesbounded
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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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