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Bounds for higher topological complexity of real projective space implied by BP

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Abstract

We use Brown–Peterson cohomology to obtain lower bounds for the higher topological complexity, \({\text {TC}}_k(\hbox {RP}^{2m})\), of real projective spaces, which are often much stronger than those implied by ordinary mod-2 cohomology.

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Notes

  1. Farber’s original definition did not include the “one less than” part, but most recent papers have defined it as we have done here.

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  1. Department of Mathematics, Lehigh University, Bethlehem, PA, 18015, USA

    Donald M. Davis

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  1. Donald M. Davis
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Correspondence to Donald M. Davis.

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Davis, D.M. Bounds for higher topological complexity of real projective space implied by BP. Bol. Soc. Mat. Mex. 25, 701–712 (2019). https://doi.org/10.1007/s40590-018-0215-9

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  • DOI: https://doi.org/10.1007/s40590-018-0215-9

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