Adams Memorial Symposium on Algebraic Topology: Progress report on the telescope conjecture

@inproceedings{Ravenel1992AdamsMS,
  title={Adams Memorial Symposium on Algebraic Topology: Progress report on the telescope conjecture},
  author={Douglas C. Ravenel},
  year={1992}
}
The Telescope Conjecture (made public in a lecture at Northwestern University in 1977) says that the vn–periodic homotopy of a finite complex of type n has a nice algebraic description. It also gives an explicit description of certain Bousfield localizations. In this paper we outline a proof that it is false for n = 2 and p ≥ 5. A more detailed account of this work will appear in [Rav]. In view of this result, there is no longer any reason to think it is true for larger values of n or smaller… CONTINUE READING