Generalizations of Expansiveness in Non-Autonomous Discrete Systems

In this paper, we define and study generalizations of expansiveness, namely n- expansiveness, ℵ0-expansiveness, continuum-wise expansive and meagre expansiveness for non-autonomous discrete dynamical systems. We discuss various properties of such non-autonomous systems and give necessary examples.We prove results related to non-existence of ℵ0-expansive and meagre expansive non-autonomous system on certain spaces. We also study relation between ℵ0-expansive and meagre-expansive non-autonomous systems.