一个轨道的连接能有多高?

IF 1.3 2区数学 Q1 MATHEMATICS

Revista Matematica Iberoamericana Pub Date : 2021-12-29 DOI:10.4171/rmi/1375

Christian Lange, M. Radeschi

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引用次数: 1

摘要

一方面，我们提供了任意高度连通（紧致）坏轨道的第一个例子。另一方面，我们证明了n-连通范数是流形。后者将先前已知的Lytchak的最佳界提高了大约2倍。对于紧致的轨道和大多数维度，我们证明了稍好的边界。我们得到了高达5维的清晰结果。

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How highly connected can an orbifold be?

On the one hand, we provide the first examples of arbitrarily highly connected (compact) bad orbifolds. On the other hand, we show that n-connected norbifolds are manifolds. The latter improves the best previously known bound of Lytchak by roughly a factor of 2. For compact orbifolds and in most dimensions we prove slightly better bounds. We obtain sharp results up to dimension 5.

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来源期刊

Revista Matematica Iberoamericana 数学-数学

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Revista Matemática Iberoamericana publishes original research articles on all areas of mathematics. Its distinguished Editorial Board selects papers according to the highest standards. Founded in 1985, Revista is a scientific journal of Real Sociedad Matemática Española.