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A note on Miller's theorem about maps
out of classifying spaces

Author: C. A. McGibbon
Journal: Proc. Amer. Math. Soc. 124 (1996), 3241-3245
MSC (1991): Primary 55R35, 55P47, 55S37
MathSciNet review: 1328362
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Abstract: Let $X$ be a connected infinite loop space whose fundamental group is a torsion group and let $Y$ be a finite nilpotent $CW$-complex. The main result of this paper is that the space of based maps from $X$ to the profinite completion of $Y$ is weakly contractible.

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Additional Information

C. A. McGibbon
Affiliation: Department of Mathematics, Wayne State University, Detroit, Michigan 48202

Received by editor(s): January 10, 1995
Received by editor(s) in revised form: April 4, 1995
Communicated by: Thomas Goodwillie
Article copyright: © Copyright 1996 American Mathematical Society

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