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.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            