A note on Miller’s theorem about maps out of classifying spaces
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- by C. A. McGibbon PDF
- Proc. Amer. Math. Soc. 124 (1996), 3241-3245 Request permission
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.References
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Additional Information
- C. A. McGibbon
- Affiliation: Department of Mathematics, Wayne State University, Detroit, Michigan 48202
- Email: mcgibbon@math.wayne.edu
- Received by editor(s): January 10, 1995
- Received by editor(s) in revised form: April 4, 1995
- Communicated by: Thomas Goodwillie
- © Copyright 1996 American Mathematical Society
- 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