On the Gray index of phantom maps

Authors: Lê Minh Hà,

https://doi.org/10.1016/j.top.2004.08.001

Publisher, magazine: ,

Publication year: 2005

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Abstract

We study a homotopy invariant of phantom maps called the Gray index. In particular, it is conjectured that the Gray index of an essential phantom map between finite-type spaces is always finite. We obtain some partial results on this conjecture, using a tower-theoretic interpretation of the Gray index.

Tags: Phantom map,Gray index,Inverse tower,Image subtower