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Ordinary partition relations for ordinal numbers

✍ Scribed by P. Erdős; A. Hajnal

Book ID: 105440567
Publisher: Springer Netherlands
Year: 1971
Tongue: English
Weight: 644 KB
Volume: 1
Category: Article
ISSN: 0031-5303
DOI: 10.1007/bf02029142

No coin nor oath required. For personal study only.

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For ordinals :, ;, and #, the expression : Ä % ( ;, #) 2 means there is a partition of the pairs from :, [:] 2 =2 0 \_ 2 1 such that for any X :, if the order type of X is ; then [X] 2 3 2 0 and if the order type of X is # then [X] 2 3 2 1 . It is shown that if :<| 1 is multiplicatively decomposable