[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2004.19.3.519

FREE HOMEOMORPHISMS OF TWO DIMENSIONAL MANIFOLDS

Park, Jong-Jin (Department of Mathematics, Chonbuk National University)

Publication Information

Communications of the Korean Mathematical Society / v.19, no.3, 2004 , pp. 519-529 More about this Journal

Abstract

M. Brown [2] posed an open question on the class of free homeomorphisms as follows: if f is a free homeomorphism of two manifold and k is a positive integer then is $f^{k}$ free\ulcorner In this paper we show that the answer of the open question is true.

Keywords

Free homeomorphism; translation are; translation line; locally free homeomorphism;

Citations & Related Records

Reference

1	/ [ S. Nadler, Jr. ] / Continuum Theory
2	A new proof of Brouwer's lemma on translation arc / [ M. Brown ] / Houston J. Math.
3	Homeomorphisms of two dimensional manifolds / [ M. Brown ] / Houston J. Math.
4	A Brouwer Translation Theorem For Free Homeomorphisms / [ E. Slaminka ] / Trans. Amer. Math. Soc. DOI ScienceOn
5	A generalized translation theorem for free homeomorphisms of surface / [ G. Lucien ] / Proc. Amer. Math. Soc. ScienceOn