### Abstract

In this paper we construct compact metric spaces X, Y which are topologically distinct but whose topological sums X square union sign X and Y square union sign Y are homeomorphic.

Original language | English |
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Pages (from-to) | 3715-3719 |

Number of pages | 5 |

Journal | Proceedings of the American Mathematical Society |

Volume | 134 |

Issue number | 12 |

DOIs | |

Publication status | Published - 2006 Dec 1 |

### Keywords

- Counterexample
- Disjoint union
- Topological sum

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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## Cite this

Yamamoto, S., & Yamashita, A. (2006). A counterexample related to topological sums.

*Proceedings of the American Mathematical Society*,*134*(12), 3715-3719. https://doi.org/10.1090/S0002-9939-06-08596-0