Hahn--Mazurkiewicz revisited: a generalization

Francisco García Arenas, Miguel Angel Sánchez-Granero
2008 Publicationes mathematicae (Debrecen)  
We generalize Hahn-Mazurkiewicz theorem from Peano continua to generalized Peano continua (locally connected, locally compact, connected, separable metric spaces) replacing the [0, 1] interval by the hedgehog. We also relate the number of "spines" of the hedgehog with compactifications with a finite remainder.
doi:10.5486/pmd.2008.4137 fatcat:lvpkoppigvgmrdvy6hqf72woli