Homotopy in digital spaces

被引：18

作者：

Ayala, R

Domínguez, E

Francés, AR ^{[1
]}

Quintero, A

机构：

[1] Univ Zaragoza, Fac Ciencias, Dept Informat & Ingn Sistemas, E-50009 Zaragoza, Spain

[2] Univ Sevilla, Fac Matemat, Dept Geometria & Topol, E-41080 Seville, Spain

来源：

DISCRETE APPLIED MATHEMATICS | 2003年 / 125卷 / 01期

关键词：

digital homotopy; digital fundamental group; lighting functions; Seifert-Van Kampen theorem;

D O I：

10.1016/S0166-218X(02)00221-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main contribution of this paper is a new "extrinsic" digital fundamental group that can be readily generalized to define higher homotopy groups for arbitrary digital spaces. We show that the digital fundamental group of a digital object is naturally isomorphic to the fundamental group of its continuous analogue. In addition, we state a digital version of the Seifert-Van Kampen theorem. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：3 / 24

页数：22

共 16 条

[1] Weak lighting functions and strong 26-surfaces [J].