Singular homology groups of one-dimensional Peano continua
Tom 232 / 2016
                    
                    
                        Fundamenta Mathematicae 232 (2016), 99-115                    
                                        
                        MSC: 55N10, 54E45, 20K20.                    
                                        
                        DOI: 10.4064/fm232-2-1                    
                                    
                                                Streszczenie
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.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            