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Results tagged with differential-topology
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user 22131
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”.
11
votes
Accepted
Differential Topology over $\mathbb{Q}$
Claim : any rational manifold is a disjoint union of rational ball.
let's prove it for a countable rational manifold:
assume the point of $X$ are numbered $x_1,\dots,x_n...$.
Pick a neighbourhood …
- 42.4k
19
votes
Accepted
Is each closed convex set a manifold with corners?
Consider the following curve (very informally described):
start from the origin in $\mathbb{R}^2$, then move from one unit up.
Turn of an angle $\pi/4$ on the left and move from half of unit.
Turn o …
- 42.4k