Estimating the higher symmetric topological complexity of spheres

@article{Karasev2012EstimatingTH,
  title={Estimating the higher symmetric topological complexity of spheres},
  author={R. Karasev and P. Landweber},
  journal={Algebraic & Geometric Topology},
  year={2012},
  volume={12},
  pages={75-94}
}
  • R. Karasev, P. Landweber
  • Published 2012
  • Mathematics
  • Algebraic & Geometric Topology
  • We study questions of the following type: Can one assign continuously and $\Sigma_m$-equivariantly to any $m$-tuple of distinct points on the sphere $S^n$ a multipath in $S^n$ spanning these points? A \emph{multipath} is a continuous map of the wedge of $m$ segments to the sphere. This question is connected with the \emph{higher symmetric topological complexity} of spheres, introduced and studied by I. Basabe, J. Gonz\'alez, Yu. B. Rudyak, and D. Tamaki. In all cases we can handle, the answer… CONTINUE READING

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