Title of Paper :Equivariant Phantom maps

Author(s) : Jianzhong Pan

AMS Classification numbers :55P91,55P60

Addresses of Authors:



Institute of Math.,Academia Sinica ,Beijing 100080 ,China
email:pjz@math03.math.ac.cn






Text of Abstract (try for 20 lines or less) :

 A successful generalization of phantom map theory to the
 equivariant case for all compact Lie groups is obtained in this
 paper.
 One of the key observations is the discovery of the fact that
 homotopy fiber of equivariant completion splits as product of
 equivariant Eilenberg-Maclane spaces which seems impossible at
 first sight by the example of Triantafillou.