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Results tagged with gt.geometric-topology
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user 24309
Topology of cell complexes and manifolds, classification of manifolds (e.g. smoothing, surgery), low dimensional topology (e.g. knot theory, invariants of 4-manifolds), embedding theory, combinatorial and PL topology, geometric group theory, infinite dimensional topology (e.g. Hilbert cube manifolds, theory of retracts).
1
vote
Accepted
What are these compact sets called?
I'll finaly settle for "a cutout compact set" for want of a better term. But I think this word expresses well the "finitely many" (connected components, non-smooth points) side of the object, which is …
- 5,428
2
votes
2
answers
251
views
What are these compact sets called?
I'm wondering if a compact set $A\subset\mathbb{C}$ satisfying the properties that
• $A$ and its complement have finitely many connected components
• every connected component of $\partial A$ is the …
- 5,428
6
votes
Accepted
Is this a $C^0$ foliation of $\mathbb{R}^2$?
No, your partition of $\mathbb R^2$ into curves is not a foliation in the sense you provide. To see this, you only have to notice that any neighborhood $U$ of $(0 , y_0)$ disconnects some curves and …
- 5,428
3
votes
Topological equivalence of homotopic vector fields
I don't know much about the general setting you discuss, but a reasonable notion of homotopy between singular vector fields in the local holomorphic setting has been given, and studied, by J.-F. Matte …
- 5,428