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Results tagged with transversality
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user 498504
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Relative Thom transversality and the D-topology
\mathring{L},N)$ such that for any $h\in\mathcal{W}_{0}$ the function $h\cup f_{\restriction N\setminus\mathring{L}}$ is $C^{R}$, so that the problem would be solved by a direct application of Thom's transversality … He later shows that $C^{\infty}(M,N)$ with the $\mathcal{D}$-topology is Baire and proves that Thom's transversality theorem is satisfied: for any given submanifold $V\subseteq J^{k}(M,N)$ (in fact, more …
- 151
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A question regarding how Thom-Boardman strata sit in their closures
By checking that suitable subsets of the first order jet space $J^{1}(X,Y)$ are sub-manifolds one can use Thom's transversality theorem to show that for generic $f$ (that is, for any $f$ in some comeager …
- 151