On topological entropy of transitive triangular maps

In the paper of Alseda, Kolyada, Libre and Snoha [L. Alseda, S.F. Kolyada, J. Llibre, U. Snoha, Entropy and periodic points for transitive maps, Trans. Amer. Math. Soc. 351 (1999) 1551-1573] there was-among others-proved that a nonminimal continuous transitive map f of a compact metric space (X, rho) can be extended to a triangular map F on X x I (i.e., f is the base for F) in such a way that F is transitive and has the same entropy as f. The presented paper shows that under certain conditions the extension of minimal maps is guaranteed, too: Let (X, f) be a solenoidal dynamical system. Then there exist a transitive triangular map F such that h (F) = h (f). (C) 2005 Elsevier B.V. All rights reserved.