Timeline for Definition of an E-infinity algebra
Current License: CC BY-SA 2.5
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 4, 2011 at 2:13 | comment | added | Peter May | You are mixing contexts and definitions in a fairly confused way. $E_{\infty}$ algebras make sense in many categories. There are many symmetric monoidal categories of spectra (historically, the first, by a nose, was constructed in EKMM (Elmendorf-Kriz-Mandell-May). In any such category, commutative monoids, alias commutative ring spectra, are equivalent to $E_{\infty}$ algebras in the relevant category of spectra. | |
| Feb 3, 2011 at 6:23 | comment | added | Harry Gindi | Dear Professor May, is there still no way to do it even if one uses the simplicial approach of Hovey-Shipley-Smith to obtain a symmetric monoidal product of (symmetric) spectra? From what I understand (perhaps quite wrongly!), is that their approach avoids any explicit mention of operads, although it does still depend on doing a variant of stable homotopy theory. | |
| Feb 3, 2011 at 2:16 | history | answered | Peter May | CC BY-SA 2.5 |