### Abstract

Let X be a locally n-connectcd compact metric space. Then, the canonical homomorphism from the singular homology group H_{n+1}(X) to the Čech homology group Ȟ_{n+1}(X) is surjective. Consequently, if a compact metric space X is locally connected, then the canonical homomorphism from H_{1} (X) to Ȟ_{1} (X) is surjective.

Original language | English |
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Pages (from-to) | 1487-1495 |

Number of pages | 9 |

Journal | Proceedings of the American Mathematical Society |

Volume | 128 |

Issue number | 5 |

Publication status | Published - 2000 |

### Keywords

- Čech homology
- Canonical homomorphism
- Singular homology
- Surjectivc

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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## Cite this

Eda, K., & Kawamura, K. (2000). The subjectivity of the canonical homomorphism from singular homology to čech homology.

*Proceedings of the American Mathematical Society*,*128*(5), 1487-1495.