Topos理论中的超限极限
Transfinite limits in topos theory
摘要：
对于一个连贯的网站，我们构建了一个典型的相关扩大连贯的网站，这样，有界以下复合物的上同调是由扩大保存。在topos相关的扩大网站的超限组成的满态是满态和弱模拟的概念的代数闭包存在。建设是一个变种的工作Bhatt和Scholze的pro-etale拓扑。
英文摘要：
For a coherent site we construct a canonically associated enlarged coherent site, such that cohomology of bounded below complexes is preserved by the enlargement. In the topos associated to the enlarged site transfinite compositions of epimorphisms are epimorphisms and a weak analog of the concept of the algebraic closure exists. The construction is a variant of the work of Bhatt and Scholze on the pro-etale topology.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
