Square compactness and Lindel\"of trees

Pedro E. Marun

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arXiv · 2301.08233

Square compactness and Lindel\"of trees

Pedro E. Marun

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Abstract

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 Lindel\"of 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.

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BibTeX RIS

Pedro E. Marun. 2023-01-19. Square compactness and Lindel\"of trees. https://arxiv.org/abs/2301.08233

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