# Hahn-Mazurkiewicz theorem

A Hausdorff space is the continuous image of the unit interval $[0,1]$ if and only if it is a Peano space.

Title Hahn-Mazurkiewicz theorem HahnMazurkiewiczTheorem 2013-03-22 12:59:38 2013-03-22 12:59:38 CWoo (3771) CWoo (3771) 5 CWoo (3771) Theorem msc 54E99 RepresentationTheoremForCompactMetricSpaces