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math.GT2018
Transversality theorems on generic linearly perturbed mappings
Shunsuke Ichiki
In his celebrated paper "Generic projections", John Mather has given a striking transversality theorem and its applications on generic projections. On the other hand, in this paper…
math.GT2018
Characterization of generic transversality
Shunsuke Ichiki
In this paper, the notion of generic transversality and its characterization are given. The characterization is also a further improvement of the basic transversality result and it…
math.DG2018
Generic distance-squared mappings on plane curves
Shunsuke Ichiki
A distance-squared function is one of the most significant functions in the application of singularity theory to differential geometry. Moreover, distance-squared mappings are natu…