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- W2893199565 abstract "We extend Y.Eliashberg's $h$-principle to smooth maps of surfaces which are allowed to have cusp singularities, as well as folds. More precisely, we prove a necessary and sufficient condition for a given map of surfaces to be homotopic to one with given loci of folds and cusps. Then we use these results to obtain a necessary and sufficient condition for a subset of a surface $M$ to be realizable as the critical set of some generic smooth map from $M$ to a given surface $N$." @default.
- W2893199565 created "2018-10-05" @default.
- W2893199565 creator A5075806996 @default.
- W2893199565 date "2018-09-29" @default.
- W2893199565 modified "2023-09-26" @default.
- W2893199565 title "Eliashberg's $h$-principle and generic maps of surfaces with prescribed singular locus" @default.
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- W2893199565 hasPublicationYear "2018" @default.
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