On the strength of some topological lattices
Logic
2018-07-26 v1
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'.
Keywords
Cite
@article{arxiv.1609.07519,
title = {On the strength of some topological lattices},
author = {Marcus Tressl},
journal= {arXiv preprint arXiv:1609.07519},
year = {2018}
}