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Results tagged with differential-topology
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user 80950
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”.
3
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0
answers
140
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What is known about topological equivalence of polynomial dynamical systems on two different...
The question is mainly about $\it flows$, not maps (i.e., continuous time, not discrete time).
Is it known if the study of polynomial dynamical systems on $\mathbb R^n$ can be reduced to the study o …
- 111
1
vote
0
answers
65
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What *piecewise* smooth curves/surfaces/hypersurfaces give rise to forward-invariant regions...
Consider a set $\mathcal{B}\subset \mathbb{R}^n$ that is homeomorphic to a closed n-dimensional ball, and denote its boundary by $\mathcal{H}$. Assume that $\mathcal{H}$ is a "piecewise smooth" hypers …
- 111