New characterization of topological transitivity

Abstract EN

Let (X, f) be a dynamical system, (X, f) is said to be topological transitive if for every pair of non-empty open set U, V .

there exists n≥ 0 such that f n (U) ∩V≠ ø We introduce and investigate a new definition of topological transitive by using the nation N-open subset and we called N-transitive and prove the equivalent definitions of this new definition