Spaces of Geodesic Triangulations of Surfaces

被引：3

作者：

Luo, Yanwen ^{[1
]}

机构：

[1] Univ Calif Davis, Dept Math, Davis, CA 95616 USA

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 2022年 / 68卷 / 03期

关键词：

Geodesic triangulations; Tutte's embedding;

D O I：

10.1007/s00454-021-00359-4

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We give a short proof of the contractibility of the space of geodesic triangulations with fixed combinatorial type of a convex polygon in the Euclidean plane. Moreover, for any n > 0, we show that there exists a space of geodesic triangulations of a polygon with a triangulation, whose n-th homotopy group is not trivial.

引用

页码：709 / 727

页数：19

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