Phantom map

In algebraic topology, a phantom map is a map between spectra such that the induced map between homology theories is zero. Phantom maps were introduced by Adams & Walker (1964).

References

• Adams, J. Frank; Walker, G. (1964), "An example in homotopy theory", Proc. Cambridge Philos. Soc. 60: 699–700, doi:10.1017/S0305004100077422, MR 0166786

External links

• Lurie, J., Phantom maps (PDF)