@article{Anušić_Mouron_2022, title={Topological entropy of diagonal maps on inverse limit spaces}, volume={59}, url={https://apcz.umk.pl/TMNA/article/view/38705}, DOI={10.12775/TMNA.2021.043}, abstractNote={We give an upper bound for the topological entropy of maps on inverse limit spaces in terms of their set-valued components. In a special case of a diagonal map on the inverse limit space $\underleftarrow{\lim}(I,f)$, where every diagonal component is the same map $g\colon I\to I$ which strongly commutes with $f$ (i.e.\ $f^{-1}\circ g=g\circ f^{-1}$), we show that the entropy equals $\max\{\mbox{\rm Ent}(f),\mbox{\rm Ent}(g)\}$. As a side product, we develop some techniques for computing topological entropy of set-valued maps.}, number={2B}, journal={Topological Methods in Nonlinear Analysis}, author={Anušić, Ana and Mouron, Christopher}, year={2022}, month={Jun.}, pages={867–895} }