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Characterization of branched covers with simplicial branch sets. (arXiv:1809.10874v1 [math.CV])
来源于:arXiv
The image of the branch set of a PL branched cover between PL $n$-manifolds
is a simplicial $(n-2)$-complex. We demonstrate that the reverse implication
also holds; i.e., for a branched cover $f \colon \mathbb{S}^n \to \mathbb{S}^n$
with the image of the branch set contained in a simplicial $(n-2)$-complex the
mapping can be reparametrized as a PL mapping. This extends a result by Martio
and Srebro [MS79]. 查看全文>>