Timeline for Is there a high-concept explanation of the dual Steenrod algebra as the automorphism group scheme of the formal additive group?
Current License: CC BY-SA 3.0
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| Dec 12, 2011 at 5:28 | comment | added | Tyler Lawson | @Akhil: For one, there is no way to put a ring structure on the "mod-2 sphere". For any DGA $R$ you can derived-tensor with $\mathbb{Z}/2$ and get a an exact triangle $R \to R \to R/2$ where $R/2$ is an associative DGA where the multiplication-by-2 map is zero. This can't happen in stable homotopy theory; the mod-2 sphere doesn't admit a multiplication. | |
| Dec 12, 2011 at 3:21 | comment | added | Akhil Mathew | Incidentally, how do the computations you list show that the stable homotopy category cannot be a derived category of some dga? | |
| Dec 12, 2011 at 3:14 | comment | added | Akhil Mathew | Thanks a lot. This was a philosophical question, and I enjoyed reading this philosophical answer. | |
| Dec 12, 2011 at 3:14 | vote | accept | Akhil Mathew | ||
| Dec 11, 2011 at 15:01 | history | answered | Tyler Lawson | CC BY-SA 3.0 |