Topology of spaces of S-immersions

Mathematics – Geometric Topology

Scientific paper

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25 pages, 10 figures

Scientific paper

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 the homotopy type of the space of
S-immersions, i.e. equidimensional folded maps with prescribed folds.

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