%0 Journal Article
%T The orbit spaces of linearly ordered systems on continuums
%A Peiyong Zhu
%A Jianjun Wang
%A Tianxiu Lu
%J Journal of Applied Mathematics and Bioinformatics
%D 2011
%I Scienpress Ltd
%X In this paper, the concept of an orbit space is generalized from a discrete dynamical system (X, f) to a linearly ordered system {X¦Á,¦Ð¦Â , ¦£}, and it is shown that a general orbit space is a continuum if each X¦Á is a continuum in a linearly ordered system {X¦Á, ¦Ð¦Â, ¦£}. As a special case, it is obtained that the orbit space of any discrete dynamical system (X, f) is a continuum if X is a continuum.
%K linearly ordered set
%K orbit space
%K compact
%K continuum
%U http://www.scienpress.com/Upload/JAMB/Vol%201_1_14.pdf