%0 Journal Article 
%A Balibrea Gallego, Francisco
%A Cánovas Peña, José Salvador
%A Jiménez López, Victor
%T Commutativity and non-commutativity of the topological sequence entropy
%D 1999
%@ 1777-5310
%U http://hdl.handle.net/10317/1029
%X In this paper we study the commutativity property for topological sequence entropy. We prove that if $X$ is a compact metric space and $f,g: X\rightarrow X$ are continuous maps then $h _A(f\circ g)=h_A(g\circ f)$ for every increasing sequence $A$ if $X=[0,1]$, and construct a counterexample for the general case. In the interim, we also show that the equality $h_A(f)=h_A(f\vert _{\cap _{n\ge 0}f^n(X)})$ is true if $X=[0,1]$ but does not necessarily hold if $X$ is an arbitrary compact metric space.
%K Matemática Aplicada
%K Conmutatividad
%K Secuencia de la entropía topológica
%K Commutativity
%K Topological sequence entropy
%~ GOEDOC, SUB GOETTINGEN