Fibrewise completion and unstable Adams spectral sequences |
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Authors: | William Dwyer Haynes Miller Joseph Neisendorfer |
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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 |
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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”.
All three authors were supported in part by the National Science Foundation. |
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