Timeline for Trivial fiber bundle
Current License: CC BY-SA 2.5
12 events
| when toggle format | what | by | license | comment | |
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| S Mar 18, 2011 at 3:49 | vote | accept | Olivier Bégassat | ||
| Mar 18, 2011 at 2:20 | comment | added | Xiaolei Wu | I think a nontrivial $S^3$ bundle over $S^4$ with vanished Euler class will provide a counter example to this. | |
| Mar 18, 2011 at 1:21 | answer | added | Igor Belegradek | timeline score: 13 | |
| Mar 16, 2011 at 21:29 | vote | accept | Olivier Bégassat | ||
| S Mar 18, 2011 at 3:49 | |||||
| Mar 16, 2011 at 21:28 | history | edited | Olivier Bégassat | CC BY-SA 2.5 |
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| Mar 16, 2011 at 21:17 | answer | added | Sergei Ivanov | timeline score: 7 | |
| Mar 16, 2011 at 21:13 | history | edited | Olivier Bégassat | CC BY-SA 2.5 |
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| Mar 16, 2011 at 21:12 | comment | added | Olivier Bégassat | I meant 'fiber bundle' instead of 'fiber space'. | |
| Mar 16, 2011 at 21:10 | comment | added | Olivier Bégassat | Every point in $b\in B$ should a neighborhood $V$ s.t. $p^{-1}(V)$ is homeomorphic to $V\times F$ and, viewed in that 'chart', $p$ is the projection onto the first factor. | |
| Mar 16, 2011 at 20:51 | comment | added | Elizabeth S. Q. Goodman | Also, it would be nice if you could carefully define ``fiber space'' as I believe that language is a bit old. In particular, do you mean one of the definitions of a fiber bundle, or a map that has the homotopy lifting property for all maps into B--a Hurewicz fibration--or has the homotopy lifting property just for CW complexes into B--a Serre fibration? | |
| Mar 16, 2011 at 20:38 | comment | added | Elizabeth S. Q. Goodman | Never mind, this question might not be just the definition of "trivial". Are you assuming p has to be a continuous map, just a fibration? | |
| Mar 16, 2011 at 20:36 | history | asked | Olivier Bégassat | CC BY-SA 2.5 |