A canonical splitting of the first homology group of Peano continua

Gregory R. Conner, Wolfgang Herfort, Curtis Kent +1

The first singular homology of a Peano continuum $X$ with torsion-free first Cech homology, ${\check{H}}_1(x)$, splits as $H_1(X)={\check{H}}_1(X)\oplus K$ where $K$ is the homology s…