Reference for a proof of the Hahn-Mazurkiewicz theorem
The Hahn-Mazurkiewicz theorem states that a space $X$ is a Peano Space if and only if $X$ is compact, connected, locally connected, and metrizable. If anybody knows a book with a proof, please let me know. Thanks.
P.S. (added by t.b.) A Peano space is a topological space which is the continuous image of the unit interval.
Hocking and Young, Topology also has a proof, theorem 3-30, page 129. Visible in Google Books.
Read the section on Peano spaces in General Topology by Stephen Willard.