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MR1831345 (2002f:55036) 55R80 (55P35 55T10 57M60)
Bödigheimer, C.-F.; Cohen, F. R.; Peim, M. D. Mapping class groups and function spaces. Homotopy methods in algebraic topology (Boulder, CO, 1999), 17–39, Contemp. Math., 271, Amer. Math. Soc., Providence, RI, 2001.
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