3 papers
math.GT2011
Topology of spaces of S-immersions
Yakov M. Eliashberg, Nikolai M. Mishachev
We use the wrinkling theorem proven in Y. Eliashberg and N. Mishachev, "Wrinkling of smooth mappings and its applications - I", Invent. Math., 130(1997), 345-369, to fully describe…
math.GT2011
Wrinkled Embeddings
Yakov M. Eliashberg, Nikolai M. Mishachev
A {\it wrinkled embedding} is a topological embedding which is a smooth embedding everywhere on except a set of -dimensional spheres, where has cuspid…
math.GT2011
The space of framed functions is contractible
Yakov M. Eliashberg, Nikolai M. Mishachev
According to Kiyoshi Igusa a generalized Morse function on an n-dimensional manifold M is a smooth function with only Morse and birth-death singularities and a framed function is a…