On higher analogs of topological complexity |
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| Authors: | Yuli B. Rudyak |
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| Affiliation: | Department of Mathematics, University of Florida, 358 Little Hall, Gainesville, FL 32611-8105, USA |
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| Abstract: | Farber introduced a notion of topological complexity TC(X) that is related to robotics. Here we introduce a series of numerical invariants TCn(X), n=2,3,… , such that TC2(X)=TC(X) and TCn(X)?TCn+1(X). For these higher complexities, we define their symmetric versions that can also be regarded as higher analogs of the symmetric topological complexity. |
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| Keywords: | primary, 55M30 secondary, 53C23, 57N65 |
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