Preservation of immersed or injective properties by composing generic generalized distance-squared mappings

Shunsuke Ichiki; Takashi Nishimura

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arXiv · 1610.02880

Preservation of immersed or injective properties by composing generic generalized distance-squared mappings

Shunsuke Ichiki·Takashi Nishimura

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Abstract

Any generalized distance-squared mapping of equidimensional case has singularities, and their singularity types are wrapped into mystery in higher dimensional cases. Any generalized distance-squared mapping of equidimensional case is not injective. Nevertheless, in this paper, it is shown that the non-singular property or the injective property of a mapping is preserved by composing a generic generalized distance-squared mapping of equidimensional case.

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Shunsuke Ichiki, Takashi Nishimura. 2016-10-10. Preservation of immersed or injective properties by composing generic generalized distance-squared mappings. https://arxiv.org/abs/1610.02880

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