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Preprint Number 1098

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1098. Marcus Tressl
On the strength of some topological lattices

Submission date: 23 September 2016


We study the model theoretic strength of various lattices that occur naturally in topology, like closed (semi-linear or semi-algebraic or convex) sets. The method is based on weak monadic second order logic and sharpens previous results by Grzegorczyk. We also answers a question of Grzegorczyk on the 'algebra of convex sets'.

Mathematics Subject Classification: 03C64

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Full text arXiv 1609.07519: pdf, ps.

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