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arXiv · 1305.1794

On a theorem by Juhász and Szentmiklóssy

Paolo Lipparini
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Abstract

We extend a theorem by Juhász and Szentmiklóssy to notions related to pseudocompactness. We also allow the case when one of the cardinals under consideration is singular. We give an application to the study of decomposable ultrafilters: if κ is singular, D is a uniform ultrafilter over κ^+, and D' is a uniform ultrafilter over cf κ, then D' \times D is κ-decomposable.

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Paolo Lipparini. 2013-05-22. On a theorem by Juhász and Szentmiklóssy. https://arxiv.org/abs/1305.1794

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