A+ CATEGORY SCIENTIFIC UNIT

Singular homology groups of one-dimensional Peano continua

Volume 232 / 2016

K. Eda Fundamenta Mathematicae 232 (2016), 99-115 MSC: 55N10, 54E45, 20K20. DOI: 10.4064/fm232-2-1

Abstract

Let $X$ be a one-dimensional Peano continuum. Then the singular homology group $H_1(X)$ is isomorphic to a free abelian group of finite rank or the singular homology group of the Hawaiian earring.

Authors

  • K. EdaSchool of Science and Engineering
    Waseda University
    Tokyo 169-8555, Japan
    e-mail

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