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arXiv · 2211.07167

Bi-Asymptotic $c$-Expansivity

Rohit Nageshwar·Abdul Gaffar Khan·Tarun Das
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Abstract

In this paper, we define bi-asymptotically $c$-expansive maps on metric spaces and study its relationship with other variants of expansivity such as bi-asymptotically expansive maps and $N$-expansive maps. We also provide an example to establish that expansive homeomorphisms need not be bi-asymptotically expansive. Finally we prove a spectral decomposition theorem for bi-asymptotically $c$-expansive continuous surjective maps with the shadowing property on compact metric spaces.

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Rohit Nageshwar, Abdul Gaffar Khan, Tarun Das. 2022-11-14. Bi-Asymptotic $c$-Expansivity. https://arxiv.org/abs/2211.07167

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