### 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 π_{1}(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 |
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Pages (from-to) | 769-787 |

Number of pages | 19 |

Journal | Journal of the Mathematical Society of Japan |

Volume | 63 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2011 |

### Fingerprint

### Keywords

- Fundamental group
- Hawaiian earring
- Wild space

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

**Atomic property of the fundamental groups of the Hawaiian earring and wild locally path-connected spaces.** / Eda, Katsuya.

Research output: Contribution to journal › Article

*Journal of the Mathematical Society of Japan*, vol. 63, no. 3, pp. 769-787. https://doi.org/10.2969/jmsj/06330769

}

TY - JOUR

T1 - Atomic property of the fundamental groups of the Hawaiian earring and wild locally path-connected spaces

AU - Eda, Katsuya

PY - 2011

Y1 - 2011

N2 - 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.

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.

KW - Fundamental group

KW - Hawaiian earring

KW - Wild space

UR - http://www.scopus.com/inward/record.url?scp=80052424789&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80052424789&partnerID=8YFLogxK

U2 - 10.2969/jmsj/06330769

DO - 10.2969/jmsj/06330769

M3 - Article

AN - SCOPUS:80052424789

VL - 63

SP - 769

EP - 787

JO - Journal of the Mathematical Society of Japan

JF - Journal of the Mathematical Society of Japan

SN - 0025-5645

IS - 3

ER -