Modal languages for topology: expressivity and definability
Balder ten Cate, David Gabelaia, Dmitry Sustretov
Abstract
In this paper we study the expressive power and definability for (extended) modal languages interpreted on topological spaces. We provide topological analogues of the van Benthem characterization theorem and the Goldblatt-Thomason definability theorem in terms of the well established first-order topological language Lt.
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