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arXiv 2016-09-23 DOI 10.1090/conm/697/14060 0 views

On the strength of some topological lattices

Tressl, Marcus

Original · EN

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'.

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