The homotopy fiber of profinite completion

被引：7
|
作者：
Roitberg, J
Touhey, P
机构：
[1] CUNY Hunter Coll, Dept Math & Stat, New York, NY 10021 USA
[2] CUNY Grad Sch & Univ Ctr, PHD Program Math, New York, NY 10036 USA
[3] Coll Misericordia, Dept Math & Comp Sci, Dallas, PA 18612 USA
来源：
TOPOLOGY AND ITS APPLICATIONS | 2000年 / 103卷 / 03期
关键词：
profinite completion; rationalization; phantom map;
D O I：
10.1016/S0166-8641(99)00006-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the basepoint-component of the homotopy fiber of Sullivan's profinite completion map c: Y --> (Y) over cap 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, transparent proofs of various results in the recent literature on phantom maps. (C) 2000 Elsevier Science B.V. All rights reserved.
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页码：295 / 307
页数：13
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