The branch set of a quasiregular mapping between metric manifolds
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- 作者：Chang-Yu Guo<sup>asup><sup> ; sup><sup>1sup><sup> ; sup><sup>changyu.c.guo@jyu.fi" class="auth_mail" title="E-mail the corresponding authorsup><sup> ; sup><sup>changyu.guo@unifr.ch" class="auth_mail" title="E-mail the corresponding authorsup> ; Marshall Williams<sup>bsup><sup> ; sup><sup>mcwill@ksu.edu" class="auth_mail" title="E-mail the corresponding authorsup>
- 刊名：Comptes Rendus Mathematique
- 出版年：2016
- 出版时间：February 2016
- 年：2016
- 卷：354
- 期：2
- 页码：155-159
- 全文大小：255 K
文摘
In this note, we announce some new results on quantitative countable porosity of the branch set of a quasiregular mapping in very general metric spaces. As applications, we solve a recent conjecture of Fässler et al., an open problem of Heinonen–Rickman, and an open question of Heinonen–Semmes.