# Partition relations for cardinal numbers

```@article{Erds1965PartitionRF,
title={Partition relations for cardinal numbers},
author={P{\'e}ter Erdős and Andr{\'a}s Hajnal and Richard Rado},
year={1965},
volume={16},
pages={93-196}
}```
• Published 1 March 1965
• Mathematics
• Acta Mathematica Academiae Scientiarum Hungarica
1. INTRODUCTION In this paper our main object is the study of relations between cardinal numbers which are written in the form a-(b o , b,,. . .) r or a-(b)C ~° or (b) (b o b,) Such relations were introduced in  and . They are called I-relations, Ii-relations and III-relations respectively, and they will be defined in 3. 1, 3. 2 and 3. 3. In sections 18 and 19 we shall introduce certain generalizations of these relations. Our whole theory can be considered as having arisen out of the…
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