Preservation of immersed or injective properties by composing generic generalized distance-squared mappings
Geometric Topology
2016-10-11 v1
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.
Keywords
Cite
@article{arxiv.1610.02880,
title = {Preservation of immersed or injective properties by composing generic generalized distance-squared mappings},
author = {Shunsuke Ichiki and Takashi Nishimura},
journal= {arXiv preprint arXiv:1610.02880},
year = {2016}
}
Comments
9 pages