Timeline for A good vector field to calculate the Euler's number of a compact differentiable manifold
Current License: CC BY-SA 2.5
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| Jan 16, 2011 at 17:29 | comment | added | Johannes Ebert | I recommend to read Bill Thurston's answer to this question: mathoverflow.net/questions/51091/computing-homotopies/…. What insight do you expect from an explicit formula? I believe that it is more interesting and important to convince yourself that the picture in the link is meaningful in dimensions larger than $2$. | |
| Jan 13, 2011 at 19:16 | comment | added | joaohelder | In fact, this link was my motivation for the question. There is a similar justificative (2-dimensional) in the book "differential geometry in the large" (H. Hopf) but again it seems too much "intuitive". | |
| Jan 13, 2011 at 16:59 | history | answered | Johannes Ebert | CC BY-SA 2.5 |