On the comparison of stable and unstable P-completion
Research output: Contribution to journal › Journal article › Research › peer-review
- On the comparison of stable and unstable P-completion
Accepted author manuscript, 308 KB, PDF document
Tobias Barthel, A. K. Bousfield
In this note we show that a p-complete nilpotent space X has a p-complete suspension spectrum if and only if its homotopy groups pi X-* are bounded p-torsion. In contrast, if pi X-* is not all bounded p-torsion, we locate uncountable rational vector spaces in the integral homology and in the stable homotopy groups of X. To prove this, we establish a homological criterion for p-completeness of connective spectra. Moreover, we illustrate our results by studying the stable homotopy groups of K(Z(p), n) via Goodwillie calculus.
|Journal||Proceedings of the American Mathematical Society|
|Publication status||Published - 2019|