The surjectivity of the canonical homomorphism from singular homology to Cech homology
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- by Katsuya Eda and Kazuhiro Kawamura PDF
- Proc. Amer. Math. Soc. 128 (2000), 1487-1495 Request permission
Abstract:
Let $X$ be a locally $n$-connected compact metric space. Then, the canonical homomorphism from the singular homology group $H_{n+1}(X)$ to the Čech homology group $\check {H}_{n+1}(X)$ is surjective. Consequently, if a compact metric space $X$ is locally connected, then the canonical homomorphism from $H_1(X)$ to ${\check H}_1(X)$ is surjective.References
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Additional Information
- Katsuya Eda
- Affiliation: School of Science and Engineering, Waseda University, Tokyo 169-0072, Japan
- Email: eda@logic.info.waseda.ac.jp
- Kazuhiro Kawamura
- Affiliation: Institute of Mathematics, University of Tsukuba, Tsukuba 305, Japan
- MR Author ID: 255566
- Email: kawamura@math.tsukuba.ac.jp
- Received by editor(s): July 29, 1997
- Published electronically: December 8, 1999
- Communicated by: Ralph Cohen
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 1487-1495
- MSC (1991): Primary 55N10, 55N05
- DOI: https://doi.org/10.1090/S0002-9939-99-05670-1
- MathSciNet review: 1712917