The Dynamical Properties Of Double Inverse Limit Spaces

In order to study the dynamical properties of the systems (X, f) and (lim{X, f} ,σ_f), it is an interesting and useful way to study the connection between them. There are mainly two parts in this article. In the first part we summarize the conclusions about this by some authors. In the second part, we firstly give the definitions of the double inverse limit and some dynamical properties related, then we use the above way to study the dynamical relations between the systems (X, f^g) and (lim{X, f^g}, σ_f^σ_g).