Singular homology groups of one-dimensional Peano continua
Volume 232 / 2016
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.
