The fundamental groups of one-dimensional spaces

被引：40

作者：

Eda, K

Kawamura, K

机构：

[1] Waseda Univ, Sch Sci & Engn, Tokyo 169, Japan

[2] Univ Tsukuba, Inst Math, Tsukuba, Ibaraki 305, Japan

来源：

TOPOLOGY AND ITS APPLICATIONS | 1998年 / 87卷 / 03期

关键词：

fundamental group; first Cech homotopy group; one-dimensional;

D O I：

10.1016/S0166-8641(97)00167-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a space of dimension at most 1. Then, the fundamental group is isomorphic to a subgroup of the first Cech homotopy group based on finite open covers. Consequently, for a one-dimensional continuum X, the fundamental group is isomorphic to a subgroup of the first Cech homotopy group. (C) 1998 Elsevier Science B.V.

引用

页码：163 / 172

页数：10

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