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

DOI:
https://doi.org/10.1090/S0002-9939-96-03407-7

MathSciNet review:
1328362

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a connected infinite loop space whose fundamental group is a torsion group and let be a finite nilpotent -complex. The main result of this paper is that the space of based maps from to the profinite completion of 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:
https://doi.org/10.1090/S0002-9939-96-03407-7

Received by editor(s):
January 10, 1995

Received by editor(s) in revised form:
April 4, 1995

Communicated by:
Thomas Goodwillie

Article copyright:
© Copyright 1996
American Mathematical Society