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arXiv · 1905.10061

Generalizations of expansiveness in Non-Autonomous Discrete Systems

Radhika Vasisht·Ruchi Das
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Abstract

In this paper, we define and study generalizations of expansiveness, namely n- expansiveness, $\aleph_0$-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 $\aleph_0$-expansive and meagre expansive non-autonomous system on certain spaces. We also study relation between $\aleph_0$-expansive and meagre-expansive non-autonomous systems.

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Radhika Vasisht, Ruchi Das. 2019-05-24. Generalizations of expansiveness in Non-Autonomous Discrete Systems. https://arxiv.org/abs/1905.10061

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