3 citations · 4 across the 7 of their papers we have counts for
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Short proof of the Kneser-Edmonds theorem on the degree of a map between closed surfaces
Andrey Ryabichev
Suppose for closed surfaces there exists a continuous map of geometric degree . Then . This inequality was first proved by Kneser in case…
Maximal degree of a map of surfaces
Andrey Ryabichev
Given closed possibly nonorientable surfaces , we prove that if a map has degree , then . We give all necessary comments on the definition…
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…
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…