Partition Relations for Cardinal Numbers

Hans Jürgen Prömel
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Hans Jürgen Prömel: Technische Universität Darmstadt

Chapter Chapter 11 in Ramsey Theory for Discrete Structures, 2013, pp 119-125 from Springer

Abstract: 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).

Keywords: Negative Partition Relations; Large Cardinals; Infinite Version; Inaccessible Cardinals; Canonical Theorem (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-3-319-01315-2_11

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