On a property specific to the tent map

Let a set {Xλ;λ-bar Λ} of subspaces of a topological space X be a cover of X. Mathematical conditions are proposed for each subspace Xλ to define a map gXλ:Xλ->X which has the following property specific to the tent map known in the baker's transformation. Namely, for any infinite sequence ω0,ω1,ω2,... of Xλ, λ-bar Λ, we can find an initial point x0-bar ω0 such that gω0(x0)-bar ω1,gω1(gω0(x0))-bar ω2,.... The conditions are successfully applied to a closed cover of a weak self-similar set