解析网和拓扑网

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-02-01 DOI:10.1016/j.aim.2024.110042

Kirill Lazebnik

引用次数: 0

摘要

我们描述了在有理映射r下，解析约当曲线经过r的临界值的回拉产生的平面图。我们还证明了这种回拉在f−1（Σ）集合内是密集的，其中f是球体的分支覆盖，Σ是经过f的分支值的约当曲线。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Analytic and topological nets

We characterize which planar graphs arise as the pullback, under a rational map r, of an analytic Jordan curve passing through the critical values of r. We also prove that such pullbacks are dense within the collection of

f^{- 1} (Σ)

, where f is a branched cover of the sphere and Σ is a Jordan curve passing through the branched values of f.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.