A bound for the nilpotency of a group of self homotopy equivalences

Félix, Yves;Murillo, A.
(1998) Proceedings of the American Mathematical Society — Vol. 126, n° 2, p. 625-627 (1998)

Files

pdfdocument.pdf
  • Restricted Access
  • Adobe PDF
  • 134.21 KB
Request a copy

Details

Authors
  • Félix, YvesUCLouvain
    Author
  • Murillo, A.
    Author
Abstract
Let E-Omega(X) be the group of homotopy classes of self-homotopy equivalences of X such that Omega f similar or equal to 1d(Omega X). We prove that epsilon(Omega)(X) is a nilpotent group and that nil epsilon(Omega)(X) less than or equal to cat(X) - 1.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Félix, Y., & Murillo, A. (1998). A bound for the nilpotency of a group of self homotopy equivalences. Proceedings of the American Mathematical Society, 126(2), 625-627. https://doi.org/10.1090/S0002-9939-98-04192-6 (Original work published 1998)