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R-nilpotency in homotopy equivalences

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Abstract

We study the monoid of self homotopy equivalences of anR-nilpotent space, with the goal of understanding the actions of a cyclic group of orderp on a simply-connected homologically finite space with uniquelyp-divisible homotopy groups.

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References

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Authors and Affiliations

  1. Department of Mathematics, University of Notre Dame, 46556, Notre Dame, IN, USA

    W. G. Dwyer

Authors
  1. W. G. Dwyer
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This work was supported in part by the National Science Foundation.

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Dwyer, W.G. R-nilpotency in homotopy equivalences. Israel J. Math. 66, 154–159 (1989). https://doi.org/10.1007/BF02765890

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  • DOI: https://doi.org/10.1007/BF02765890

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