On subgroups of first homology
Volume 247 / 2019
Fundamenta Mathematicae 247 (2019), 217-228
MSC: Primary 14F35; Secondary 03E15.
DOI: 10.4064/fm434-3-2019
Published online: 6 August 2019
Abstract
We prove several new theorems regarding first homology. Some dichotomies for first homology of Peano continua are presented, as well as a notion of strong abelianization for arbitrary path connected metric spaces.