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Fibrewise completion and unstable Adams spectral sequences

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Abstract

We describe a tower of spaces whose inverse limit is a “fiberwise completion” of a fibrationE →B, and study the resulting spectral sequence converging to the homotopy groups of the space of lifts of a mapX →B. This is used to give a proof of the “generalized Sullivan conjecture”.

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Authors and Affiliations

  1. Department of Mathematics, University of Notre Dame, Notre Dame, Indiana, USA

    William Dwyer

  2. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts, USA

    Haynes Miller

  3. Department of Mathematics, University of Rochester, Rochester, New York, USA

    Joseph Neisendorfer

Authors
  1. William Dwyer
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  2. Haynes Miller
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  3. Joseph Neisendorfer
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Additional information

All three authors were supported in part by the National Science Foundation.

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Dwyer, W., Miller, H. & Neisendorfer, J. Fibrewise completion and unstable Adams spectral sequences. Israel J. Math. 66, 160–178 (1989). https://doi.org/10.1007/BF02765891

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  • DOI: https://doi.org/10.1007/BF02765891

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