方紧致性与林德勒夫树
Square compactness and Lindelöf trees
AI总结：
本文证明弱方紧致基数必为强极限基数，并借助特定拓扑下的林德勒夫性刻画无不可数有限分叉子树的阿龙扎恩树，确定其严格介于苏斯林树与阿龙扎恩树之间。
摘要：
我们证明每个弱方紧致基数都是强极限基数。我们还研究了没有不可数有限分叉子树的阿龙扎恩树，并用关于特定拓扑的林德勒夫性质刻画它们。我们证明这类树位于苏斯林树类与阿龙扎恩树类之间，并且这些包含关系可以一致地为严格的。
英文摘要：
We prove that every weakly square compact cardinal is a strong limit cardinal. We also study Aronszajn trees with no uncountable finitely branching subtrees, characterizing them in terms of being Lindelöf with respect to a particular topology. We prove that the class of such trees lies between the classes of Suslin and Aronszajn trees, and that the inclusions can consistently be strict.
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。
