Timeline for Chromatic Completion of Suspension Spectra and affine results
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Nov 19, 2017 at 17:34 | comment | added | Alfred | Thank you for the answer, one question: Why can we tell that $X_{nk}$ is a suspension spectrum? | |
| Oct 10, 2017 at 15:50 | comment | added | Neil Strickland | For $n,k>0$ we can choose a finite suspension spectrum $X_{nk}$ with $BP_*(X_{nk})=\Sigma^dBP_*/(v_0^{i_0},\dotsc,v_{n-1}^{i_{n-1}})$ where $d\geq n+k$ and $i_t\geq k$ for all $t$. Put $X=\bigvee_{n,k}X_{nk}$, which is again a suspension spectrum. The condition on $d$ means that $X=\prod_{n,k}X_{nk}$. This is quite similar to the main counterexample of Bartels and my guess is that it is not chromatically complete. At any rate, it is certainly a key example that one would want to analyse. It might be enough to consider $\bigvee_nX_{n1}$ instead. | |
| Oct 10, 2017 at 14:19 | review | First posts | |||
| Oct 10, 2017 at 14:34 | |||||
| Oct 10, 2017 at 14:17 | history | asked | Alfred | CC BY-SA 3.0 |