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A Whitehead theorem for periodic homotopy groups

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Abstract

We show that vn-periodic homotopy groups detect homotopy equivalences between simply-connected finite CW-complexes.

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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, University of Copenhagen Universitetsparken 5, 2100, København Ø, Denmark

    Tobias Barthel

  2. Mathematical Institute, Utrecht University, Budapestlaan 6, 3584 CD, Utrecht, The Netherlands

    Gijs Heuts & Lennart Meier

Authors
  1. Tobias Barthel
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  2. Gijs Heuts
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  3. Lennart Meier
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Corresponding author

Correspondence to Lennart Meier.

Additional information

TB was supported by the DNRF92 and the European Unions Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No. 751794.

GH was supported by NWO grant 016.Veni.192.186.

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Barthel, T., Heuts, G. & Meier, L. A Whitehead theorem for periodic homotopy groups. Isr. J. Math. 241, 1–16 (2021). https://doi.org/10.1007/s11856-021-2086-4

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  • DOI: https://doi.org/10.1007/s11856-021-2086-4

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