15 citations · 23 across the 19 of their papers we have counts for
Showing 2016 · math.GTShow all
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math.GT2016
Composing generic linearly perturbed mappings and immersions/injections
Shunsuke Ichiki
Let (resp., ) be a manifold (resp., an open subset of ). Let and be an immersion and a mapping, respectively.…
math.GT2016
Preservation of immersed or injective properties by composing generic generalized distance-squared mappings
Shunsuke Ichiki, Takashi Nishimura
Any generalized distance-squared mapping of equidimensional case has singularities, and their singularity types are wrapped into mystery in higher dimensional cases. Any generalize…
math.GT2016★ 4 cited
Generic linear perturbations
Shunsuke Ichiki
In his celebrated paper "Generic projections", John Mather has shown that almost all linear projections from a submanifold of a vector space into a subspace are transverse with res…