The homotopy fiber of profinite completi
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Joseph Roitberg; Pat Touhey
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Article
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2000
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Elsevier Science
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English
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We show that the basepoint-component of the homotopy fiber of Sullivan's profinite completion map c : Y โ Y is always an H -space, provided Y is nilpotent of finite type. This observation allows for a reworking of the completion/rationalization approach to phantom map theory and leads to more direct