The combinatorial structure of the Hawaiian earring group

被引：65

作者：

Cannon, JW ^{[1
]}

Conner, GR ^{[1
]}

机构：

[1] Brigham Young Univ, Dept Math, Provo, UT 84602 USA

来源：

TOPOLOGY AND ITS APPLICATIONS | 2000年 / 106卷 / 03期

关键词：

Hawaiian earring; free subgroups; commutator; subgroup; abelianization; transfinite words; specker group; lambda-trees; lambda-metric;

D O I：

10.1016/S0166-8641(99)00103-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the combinatorial structure of the Hawaiian earring group, by showing that it can be represented as a group of transfinite,words on a countably infinite alphabet exactly analogously to the representation of a finite rank; free group as finite words on a finite alphabet. We define a big free group, similarly as the group of transfinite words on given set, and study their group theoretic structure. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：225 / 271

页数：47

共 18 条

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Bogley W.A., UNIVERSAL PATH SPACE

[2]

BOGLEY WA, WEIGHTED COMBINATORI

[3] The big fundamental group, big Hawaiian earrings, and the big free groups [J].