Timeline for Extending a 2-frame field - manifolds with boundary
Current License: CC BY-SA 3.0
7 events
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| Aug 9, 2013 at 12:59 | comment | added | Karthik C | Edited and changed numbering. Steifel-Whitney classes and other such characteristic classes help us when we at times encounter such situations as $\pi_1(SO_3)$ being non-zero, and the cohomology group being non-zero. | |
| Aug 9, 2013 at 12:57 | history | edited | Karthik C | CC BY-SA 3.0 |
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| Aug 9, 2013 at 12:50 | history | edited | Karthik C | CC BY-SA 3.0 |
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| Aug 9, 2013 at 9:59 | comment | added | Lennart Meier | I don't understand Step 3. As the tangential bundle of $M$ is trivial, the datum of a $2$-frame is equivalent to a map to $SO(3)$. Obstructions to extending such a map from the $1$-skeleton to the $2$-skeleton lie in $\pi_1SO(3)$, which is non-trivial. | |
| Aug 7, 2013 at 15:17 | history | edited | Karthik C | CC BY-SA 3.0 |
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| Aug 7, 2013 at 13:13 | history | edited | Karthik C | CC BY-SA 3.0 |
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| Aug 7, 2013 at 13:06 | history | asked | Karthik C | CC BY-SA 3.0 |