Entropy of transverse foliations

Abstract

A new definition of the topological entropy of a foliation is introduced in this paper. This definition is slightly different from the definition of the topological entropy of a foliation given by E. Ghys, R. Langevin, P. Walczak in [1]. However, for any foliation F, the topological entropy of F defined in [1) is less or equal to the topological entropy of F defined here. For transverse foliations F₁ slid F₂, the topological entropy of F₁ ᴖ F₂ estimated.