### Abstract

There exists a path-connected, simply connected, Tychonoff space X with x suchthat X is locally simply connected at x, but (X, x) V (X, x) is not simply connected.

Original language | English |
---|---|

Pages (from-to) | 237-241 |

Number of pages | 5 |

Journal | Proceedings of the American Mathematical Society |

Volume | 109 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1990 |

Externally published | Yes |

### Fingerprint

### Keywords

- First countable
- Fundamental group
- Locally simply connected
- One point union

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

**First countability and local simple connectivity of one point unions.** / Eda, Katsuya.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 109, no. 1, pp. 237-241. https://doi.org/10.1090/S0002-9939-1990-1013969-5

}

TY - JOUR

T1 - First countability and local simple connectivity of one point unions

AU - Eda, Katsuya

PY - 1990

Y1 - 1990

N2 - There exists a path-connected, simply connected, Tychonoff space X with x suchthat X is locally simply connected at x, but (X, x) V (X, x) is not simply connected.

AB - There exists a path-connected, simply connected, Tychonoff space X with x suchthat X is locally simply connected at x, but (X, x) V (X, x) is not simply connected.

KW - First countable

KW - Fundamental group

KW - Locally simply connected

KW - One point union

UR - http://www.scopus.com/inward/record.url?scp=84966224921&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84966224921&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1990-1013969-5

DO - 10.1090/S0002-9939-1990-1013969-5

M3 - Article

AN - SCOPUS:84966224921

VL - 109

SP - 237

EP - 241

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 1

ER -