Forgetable map and phantom maps

Details Forgetable map and phantom maps Forgetable map and phantom maps

1999-07-20

arxiv.org/abs/math/9907122v1

Mathematics

Algebraic Topology

21 pages, Latex2e file and pb-diagram package

Scientific paper

In this note, we attack a question posed ten years ago by Tsukiyama about the injectivity of the so- called Forgetable map. We show that we can insert the Forgetable map in an exact sequence and that the problem can be reduced to the computation of the sequence which turns out unexpectedly to be related to the phantom map problem and the famous Halperin conjecture in rational homotopy theory.

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