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Fibrewise completion and unstable Adams spectral sequences
Authors:William Dwyer  Haynes Miller  Joseph Neisendorfer
Institution:(1) Department of Mathematics, University of Notre Dame, Notre Dame, Indiana, USA;(2) Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts, USA;(3) Department of Mathematics, University of Rochester, Rochester, New York, USA
Abstract:We describe a tower of spaces whose inverse limit is a “fiberwise completion” of a fibrationEB, and study the resulting spectral sequence converging to the homotopy groups of the space of lifts of a mapXB. This is used to give a proof of the “generalized Sullivan conjecture”. All three authors were supported in part by the National Science Foundation.
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