Perspectives on A-homotopy theory and its applications

被引：28

作者：

Barcelo, H ^{[1
]}

Laubenbacher, R

机构：

[1] Arizona State Univ, Dept Math & Stat, Tempe, AZ 85287 USA

[2] Virginia Tech, Virginia Bioinformat Inst, Blacksburg, VA 24061 USA

来源：

DISCRETE MATHEMATICS | 2005年 / 298卷 / 1-3期

关键词：

combinatorial topology; homotopy; simplicial complex; graph;

D O I：

10.1016/j.disc.2004.03.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper contains a survey of the A-theory of simplicial complexes and graphs, a combinatorial homotopy theory developed recently. The initial motivation arises from the use of simplicial complexes as models for a variety of complex systems and their dynamics. This theory diverges from classical homotopy theory in several crucial aspects. It is related to prior work in matroid theory, graph theory, and work on subspace arrangements. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：39 / 61

页数：23

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