无限类型曲面的翻转图

Pub Date : 2020-11-04 DOI:10.4171/ggd/685

A. Fossas, H. Parlier

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引用次数: 3

摘要

我们将无限类型曲面的三角图与允许同时翻转的翻转图联系起来。我们的主要关注点是准确地理解两个三角形何时可以通过一系列翻转来关联。我们的结果的一个结果是，无穷类型曲面的翻转图具有不可计数的许多连通分量。

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Flip graphs for infinite type surfaces

We associate to triangulations of infinite type surface a type of flip graph where simultaneous flips are allowed. Our main focus is on understanding exactly when two triangulations can be related by a sequence of flips. A consequence of our results is that flip graphs for infinite type surfaces have uncountably many connected components.

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