Abstract
Recall the infinite version of Ramsey’s theorem: \(\omega \rightarrow (\omega )_{r}^{k}\), whenever k, r are positive integers. The aim of this section is to discuss some extensions of this relation to larger cardinals. Our treatment will be far from complete. For ω more results on this topic we refer the reader to the book of Erdős et al. (1984).
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Prömel, H.J. (2013). Partition Relations for Cardinal Numbers. In: Ramsey Theory for Discrete Structures. Springer, Cham. https://doi.org/10.1007/978-3-319-01315-2_11
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DOI: https://doi.org/10.1007/978-3-319-01315-2_11
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