Dynamic properties for the induced maps on n-fold symmetric product suspensions Ⅱ

摘要

Given a continuum X and a positive integer n, let F-n(X) be the symmetric product of X and let SFn(X) be the symmetric product suspension of X. Considering a map f : X - X in one of the following classes of maps: mildly mixing, strongly product transitive, strongly exact transitive, fully exact, exact, exact transitive, strongly transitive, syndetically transitive and iteratively almost open, in this paper we study dynamical behaviors of the systems: (X, f), (F-n(X), F-n(f)) and (SFn(X), SFn(f)). (C) 2020 Elsevier B.V. All rights reserved.