Atomic property of the fundamental groups of the Hawaiian earring and wild locally path-connected spaces

Katsuya Eda

doi:10.2969/jmsj/06330769

Atomic property of the fundamental groups of the Hawaiian earring and wild locally path-connected spaces

Katsuya Eda^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

We strengthen previous results on the fundamental groups of the Hawaiian earring and wild Peano continua. Let X be a path-connected, locally path-connected, first countable space which is not locally semi-simply connected at any point. If the fundamental group π₁(X) is a subgroup of a free product *_{j∈ J}H_j, then it is contained in a conjugate subgroup to some H_j.

Original language	English
Pages (from-to)	769-787
Number of pages	19
Journal	Journal of the Mathematical Society of Japan
Volume	63
Issue number	3
DOIs	https://doi.org/10.2969/jmsj/06330769
Publication status	Published - 2011

Keywords

Fundamental group
Hawaiian earring
Wild space

ASJC Scopus subject areas

Mathematics(all)

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10.2969/jmsj/06330769

Cite this

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abstract = "We strengthen previous results on the fundamental groups of the Hawaiian earring and wild Peano continua. Let X be a path-connected, locally path-connected, first countable space which is not locally semi-simply connected at any point. If the fundamental group π1(X) is a subgroup of a free product *j∈ JHj, then it is contained in a conjugate subgroup to some Hj.",

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AB - We strengthen previous results on the fundamental groups of the Hawaiian earring and wild Peano continua. Let X be a path-connected, locally path-connected, first countable space which is not locally semi-simply connected at any point. If the fundamental group π1(X) is a subgroup of a free product *j∈ JHj, then it is contained in a conjugate subgroup to some Hj.

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KW - Wild space

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Atomic property of the fundamental groups of the Hawaiian earring and wild locally path-connected spaces

Abstract

Keywords

ASJC Scopus subject areas

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