Mapping Theorems for Inverse Limits with Set-Valued Bonding Functions

Transitive points in CR-dynamical systems

“…1. First, we prove that the set P(σ + F ) of periodic points in (X + F , σ + F ) is dense in 7). Also, let n be a positive integer and let U 1 , U 2 , U 3 , .…”

“…Definition 4.1. In this subsection, we use X to denote X = [0, 1] ∪ [2, 3] ∪ [4, 5] ∪ [6,7], and we let f 1 , f 2 , f 3 : X → X be the homeomorphisms from X to X that are defined by…”

“…x ∈ [4, 5] (x − 6) 1 3 + 6; x ∈ [6,7] for each x ∈ X. Then we use F to denote the relation F = Γ( f 1 ) ∪ Γ( f 2 ) ∪ Γ( f 3 ); see Figure 3.…”