On Topological Entropy Density of Maps and its Property
Ming-Jun Li, Hua-Qing Liang, Yang Jun-qiang · Natural Science Journal of Xiangtan University · 2007
For a map of compact metric space, topological entropy density is defined for infinite topological entropy. Accordingly, the formulation of topological entropy density la gained. The inverse image entropy density is defined for infinite inverse image topologicalentropy, the formulation of topological entropy density is also gained for inverse image topological entropy density. Some known results are corollary of our works. This method opens a door to study two maps with infinite topological entropy but with finite topological entropy densities.