发表机构
Bar-Ilan University（巴伊兰大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明了一致地存在基数为$\aleph_1$的非D空间的正则Lindelöf空间，解决了集合论拓扑学中的核心问题，并指出该存在性独立于ZFC，同时留下一个开放问题。
AI 中文摘要
我们证明，一致地，存在一个基数为$\aleph_1$的正则Lindelöf空间，它不是D空间。这解决了集合论拓扑学中的一个核心问题，以及许多相关问题。这样的空间的存在性独立于ZFC。关于是否一致地每个正则遗传Lindelöf空间都是D空间的问题仍然开放。
英文摘要
Settling a central problem in set-theoretic topology, and many related problems, we prove that there is, consistently, a regular Lindelöf space of cardinality $\aleph_1$ that is not a D-space. The existence of such a space is independent of ZFC; we establish its equivalence to a weak form of the Continuum Hypothesis. The proof of the main theorem is adjustable to produce consistent examples with a variety of stronger properties.
CommentsMajor revision. Proof uses CH instead of diamond. We announce additional results that were obtained but are not yet polished
