Preservation Theorems Through the Lens of Topology

Aliaume Lopez

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arXiv · 2007.07879

Preservation Theorems Through the Lens of Topology

Aliaume Lopez

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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.

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Aliaume Lopez. 2020-07-15. Preservation Theorems Through the Lens of Topology. https://arxiv.org/abs/2007.07879

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