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0111 · Feb 201519922001200920172026
4 results for jiggling

Generalizes Thurston's jiggling lemma for piecewise smooth solutions.

problem Creating piecewise smooth solutions of differential relations without homotopical assumptions.
method Jiggling arbitrary sections of EE to construct solutions of R\mathcal{R}.
result Generalization of Thurston's lemma for piecewise smooth solutions of differential relations.

For some geometries including symplectic and contact structures on an n-dimensional manifold, we introduce a two-step approach to Gromov's h-principle. From formal geometric data, the first step builds a transversely geometric Haefliger structure of codimension n. This step works on all manifolds, even closed. The seco…

2015-02-23abs ↗pdf ↗

The first part of this article intends to present the role played by Thom in diffusing Smale's ideas about immersion theory, at a time (1957) where some famous mathematicians were doubtful about them: it is clearly impossible to make the sphere inside out! Around a decade later, M. Gromov transformed Smale's idea in wh…

2017-03-23abs ↗pdf ↗