Timeline for How do you compute the space of lifts of an E-infinity map?
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Feb 17, 2010 at 21:13 | comment | added | Tyler Lawson | My best guess for finding something like that was to look through John Rognes' paper on topological logarithmic structures, where a log structure is basically some kind of map of E-infinity spaces to the multiplicative monoid of $\Omega^\infty R$. My coarse read on it (and my memory of comments he's made) seems to be that finding appropriate maps of E-infinity spaces (to give the right kinds of logarithmic structures) when $R = ku$ or the like is a difficult problem. I don't know of any systematic analysis of these mapping spaces even when X is the zero-component of $\Omega^\infty R$! | |
| Feb 17, 2010 at 20:46 | comment | added | Charles Rezk | John Francis points out below that this reduces to a problem in stable homotopy theory when X is grouplike, or is nearly so. I'm wondering if anybody has ever computed something like this, where X isn't grouplike, and B isn't something simple (like a free E-infinity space). I can't think of any such case, though that may just reflect my ignorance. | |
| Feb 17, 2010 at 20:15 | answer | added | Tyler Lawson | timeline score: 5 | |
| Feb 17, 2010 at 19:33 | answer | added | John Francis | timeline score: 7 | |
| Feb 15, 2010 at 21:37 | history | asked | cdouglas | CC BY-SA 2.5 |