Topological entropy for locally linearly compact vector spaces and field extensions

preprint2018arXivOpen access

Abstract

Let K\mathbb{K} be a discrete field and (V,ϕ)(V, ϕ) a flow over the category of locally linearly compact K\mathbb{K}-spaces. Here we give the formulas to compute the topological entropy of (V,ϕ)(V,ϕ) subject to the extension or the restriction of scalars.

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