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}
}
• 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

References

Publications referenced by this paper.
SHOWING 1-10 OF 23 REFERENCES