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Results tagged with transversality
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user 146814
1
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Stratification of the space of maps transverse to another given one
If $M,N,S$ are manifolds ($M$ and $S$ compact) and $g:S\to N$ is a smooth map, then if we endow $C^\infty(M,N)$ with the strong topology we get that
$$\pitchfork(M,N;g):=\{f\in C^\infty(M,N)\,;\,f\pit …
- 31
2
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0
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178
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Genericity of an induced projection map
So by the transversality parametric theorem, I can conclude that the regular values of the projection are generic. … So I have to add something else, probably a transversality condition involving the 1 or 2-jet of $f$, but I can't find it and every help will be much appreciated. …
- 31