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Dan Christensen - Phantom maps: all or nothing



DAN CHRISTENSEN, Johns Hopkins University, Baltimore, Maryland  21218, USA
Phantom maps: all or nothing


The general theme is to determine conditions on spectra X and Yunder which either every map from X to Y is phantom, or no non-zero maps are. I will also address the question of whether such all or nothing behaviour is preserved when X is smashed with a finite spectrum W. It turns out that there are close connections with the divisibility and rationality of the group [X,Y], and with Brown-Comenetz duality.

If there is time, I will discuss n-phantom maps, a chromatic analog of phantom maps, and use this concept to give another explanation of the results on phantom maps.

This is joint work with Mark Hovey and Sharon Hollander.


next up previous
Next: F. R. Cohen - Up: 2)  Homotopy Theory / Théorie Previous: 2)  Homotopy Theory / Théorie