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Exactness properties of profinite completion functors

โœ Scribed by Michael P. Anderson


Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
736 KB
Volume
13
Category
Article
ISSN
0040-9383

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The homotopy fiber of profinite completi
โœ Joseph Roitberg; Pat Touhey ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 110 KB

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