The random graph embeds in the curve graph of any infinite genus surface

被引：0
作者：
Bering, Edgar A. [1 ]
Gaster, Jonah [2 ]
机构：
[1] Univ Illinois, Dept Math Stat & Comp Sci, 851 S Morgan St M-C 249, Chicago, IL 60607 USA
[2] Boston Coll, Dept Math, Chestnut Hill, MA 02467 USA
来源：
NEW YORK JOURNAL OF MATHEMATICS | 2017年 / 23卷
关键词：
Random graph; curve graph; stability; GEOMETRY; COMPLEX;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The random graph is an infinite graph with the universal property that any embedding of G-nu extends to an embedding of G, for any finite graph. In this paper we show that this graph embeds in the curve graph of a surface Sigma if and only if Sigma has infinite genus, showing that the curve system on an infinite genus surface is "as complicated as possible".
引用
收藏
页码：59 / 66
页数：8
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