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math.GT2018★ 1 cited
Maps of manifolds of the same dimension with prescribed Thom-Boardman singularities
Andrey Ryabichev
In this paper we extend Y.Eliashberg's -principle to arbitrary generic smooth maps of smooth manifolds. Namely, we prove a necessary and sufficient condition for a continuous ma…
math.GT2018★ 3 cited
Eliashberg's -principle and generic maps of surfaces with prescribed singular locus
Andrey Ryabichev
We extend Y.Eliashberg's -principle to smooth maps of surfaces which are allowed to have cusp singularities, as well as folds. More precisely, we prove a necessary and sufficien…