Timeline for Relationship of Bousfield Classes of Morava K-theories
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Feb 24, 2012 at 15:49 | comment | added | John Palmieri | Look at my paper with Hovey, "The structure of the Bousfield lattice." We don't address prime ideals, but we discuss a conjectured description of the atoms for BA. (The atoms for the whole Bousfield lattice could be more complicated. The Brown-Comenetz dual of the sphere might be one.) | |
| Feb 23, 2012 at 22:04 | comment | added | Jonathan Beardsley | Sorry that probably seems like a completely random question. I'm trying to look at either BA or DL from the point of view of order theory and that kind of stuff and figure out things like what are the prime ideals and so forth. In a Boolean algebra an element generates a prime ideal if and only if its complement is an atom. So, it appears that there are prime ideals of the form ↓a⟨K(n)⟩. | |
| Feb 23, 2012 at 21:59 | comment | added | Jonathan Beardsley | Thanks John. So we might say something like $\langle K(n)\rangle$ are the atoms of the Bousfield lattice? | |
| Feb 23, 2012 at 21:55 | history | answered | John Palmieri | CC BY-SA 3.0 |