论文标题
通过拓扑镜头保存定理
Preservation Theorems Through the Lens of Topology
论文作者
论文摘要
在本文中，我们介绍了一个拓扑空间，该家族捕获了保存定理的存在。这些空间的结构使我们能够研究保存定理的相对性，该定理在适当的旋转形态，子类，总和，产物，拓扑封闭和投射限制的定义下进行了研究。在整个论文中，我们还将已经知道的结果集成到了这个新框架中，并展示了它如何捕获其证明的本质。
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.
