Preservation Theorems Through the Lens of Topology
Logic in Computer Science
2024-04-17 v2 Logic
Abstract
In this paper, we introduce a family of topological spaces that captures the existence of preservation theorems. The structure of those spaces allows us to study the relativisation of preservation theorems under suitable definitions of surjective morphisms, subclasses, sums, products, topological closures, and projective limits. Throughout the paper, we also integrate already known results into this new framework and show how it captures th essence of their proofs.
Keywords
Cite
@article{arxiv.2007.07879,
title = {Preservation Theorems Through the Lens of Topology},
author = {Aliaume Lopez},
journal= {arXiv preprint arXiv:2007.07879},
year = {2024}
}