On the topology of infinite regular and chiral maps

被引：3

作者：

Arredondo, John A. ^{[1
]}

Ramirez Maluendas, Camilo ^{[1
]}

Valdez, Ferran ^{[2
]}

机构：

[1] Fdn Univ Konrad Lorenz, Bogota 110231, Colombia

[2] UNAM, Ctr Ciencias Matemat, Campus Morelia, Morelia 58190, Michoacan, Mexico

来源：

DISCRETE MATHEMATICS | 2017年 / 340卷 / 06期

关键词：

Infinite surface; Regular and chiral polytope; GRAPHS;

D O I：

10.1016/j.disc.2016.12.023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that infinite regular and chiral maps can only exist on surfaces with one end. Moreover, we prove that an infinite regular or chiral map on an orientable surface with positive genus, can only be realized on the Loch Ness monster, that is, the topological surface of infinite genus with one end. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：1180 / 1186

页数：7

共 21 条

[1] The topology of the minimal regular covers of the Archimedean tessellations [J].