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arXiv · 1609.07519

On the strength of some topological lattices

Marcus Tressl
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Abstract

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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BibTeXRIS

Marcus Tressl. 2016-09-23. On the strength of some topological lattices. https://doi.org/10.1090/conm%2F697%2F14060

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