The fundamental groups of one-dimensional spaces

被引：39
|
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.
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页码：163 / 172
页数：10
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