Commun. Korean Math. Soc. 2004 Vol. 19, No. 3, 519-529 Printed September 1, 2004
Jong-Jin Park Chonbuk National University
Abstract : M. Brown [2] posed an open question on the class of free homeomorphisms as follows: {\it if $f$ is a free homeomorphism of two manifold and $k$ is a positive integer then is $f^k$ free?} In this paper we show that the answer of the open question is true.