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

Author(s): C. A. McGibbon
Journal: Proc. Amer. Math. Soc. 124 (1996), 3241-3245.
MSC (1991): Primary 55R35, 55P47, 55S37
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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
Email: mcgibbon@math.wayne.edu

DOI: 10.1090/S0002-9939-96-03407-7
PII: S 0002-9939(96)03407-7
Received by editor(s): January 10, 1995
Received by editor(s) in revised form: April 4, 1995
Communicated by: Thomas Goodwillie
Copyright of article: Copyright 1996, American Mathematical Society

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