TY - JOUR 
A1 - Balibrea Gallego, Francisco
AU - Cánovas Peña, José Salvador
AU - Jiménez López, Victor
T1 - Commutativity and non-commutativity of the topological sequence entropy
Y1 - 1999
SN - 1777-5310
UR - http://hdl.handle.net/10317/1029
AB - 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.
KW - Matemática Aplicada
KW - Conmutatividad
KW - Secuencia de la entropía topológica
KW - Commutativity
KW - Topological sequence entropy
LA - eng
PB - Institut Fourier
ER -