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  1. Topological elementary equivalence of regular semi‐algebraic sets in three‐dimensional space.Floris Geerts & Bart Kuijpers - 2018 - Mathematical Logic Quarterly 64 (6):435-463.
    We consider semi‐algebraic sets and properties of these sets that are expressible by sentences in first‐order logic over the reals. We are interested in first‐order properties that are invariant under topological transformations of the ambient space. Two semi‐algebraic sets are called topologically elementarily equivalent if they cannot be distinguished by such topological first‐order sentences. So far, only semi‐algebraic sets in one and two‐dimensional space have been considered in this context. Our contribution is a natural characterisation of topological elementary equivalence of (...)
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