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Results tagged with differential-topology
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user 10881
The study of differentiable manifolds and differentiable maps. One fundamental problem is that of classifying manifolds up to diffeomorphism. Differential topology is what Poincaré understood as topology or “analysis situs”.
1
vote
Computation of the Euler characteristic of a specific real variety
One possible way to compute Euler characteristic is to use its properties:
$\chi$ is additive on disjoint unions
$\chi$ is multiplicative on fibrations
$\chi$ of the point is $1$
So one has to eit …
- 3,597
4
votes
Characteristic polynomials of trees and E8
Using sage, and up to 16 vertices included, one finds only two trees satisfying $|det(A+2I)|=1$, namely $E_8$ and $E_{10}$.
EDIT: I also confirm that there are 18 such trees with 18 vertices. Here th …
- 3,597