Timeline for Obstruction Cocycles
Current License: CC BY-SA 2.5
12 events
| when toggle format | what | by | license | comment | |
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| Sep 13, 2010 at 6:27 | history | edited | Juan OS | CC BY-SA 2.5 |
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| Sep 13, 2010 at 2:54 | comment | added | Juan OS | @Tim Oops, now I get your comments, you're right, I wrote "vector bundle" instead of fibre bundle! Sorry, my bad! Still the answers have helped me greatly. | |
| Sep 13, 2010 at 2:50 | vote | accept | Juan OS | ||
| Sep 13, 2010 at 2:35 | comment | added | Tim Perutz | Juan, sorry, the meaning doesn't get through clearly enough for me. For instance, you say that $F$ is the fibre of a vector bundle. That makes it $\mathbb{R}^d$ for some $d$, and yet I don't think that's what you mean. | |
| Sep 12, 2010 at 23:49 | comment | added | Ryan Budney | Whitehead, "Elements of Homotopy Theory" Springer-Verlag books.google.com/… | |
| Sep 12, 2010 at 21:38 | answer | added | Paul | timeline score: 2 | |
| Sep 12, 2010 at 21:03 | comment | added | Juan OS | @Ryan, no I have not looked at Whiteheads book, I will try and find it, can you give me the title please? @Tim, I dont see where do the homotopy groups or $\mathbb{R}^n$ come in, theyre always 0 so there are no obstructions there... What i meant by "roughly" is that I wasn't going to write the whole of Steenrod's proof, if you read his book you'll see why I wrote the Hurewicz map that way (I may be bad at AT but Im not that bad) and about q and n, I did mess up there, but the meaning gets through I believe. Sorry for my bad english... | |
| Sep 12, 2010 at 20:29 | answer | added | Somnath Basu | timeline score: 1 | |
| Sep 12, 2010 at 20:18 | comment | added | Tim Perutz | Juan, could you re-read your question carefully? Presumably you're not interested in homotopy groups of $\mathbb{R}^n$, but that's what you have as things stand. You've indicated a composition - is it the value of the obstruction cochain or of its coboundary? Are $q$ and $n$ the same? Does the Hurewicz map really go from cycles to homotopy? What does "roughly" mean? | |
| Sep 12, 2010 at 20:09 | comment | added | Ryan Budney | Have you looked at Whitehead's book? He goes into obstruction theory for CW-complexes in quite a lot of detail. I haven't looked at it in a while but I remember being quite satisfied with the exposition. | |
| Sep 12, 2010 at 19:05 | answer | added | Evan Jenkins | timeline score: 3 | |
| Sep 12, 2010 at 18:13 | history | asked | Juan OS | CC BY-SA 2.5 |