Keywords

#strong_partition_cardinal

Strong partition cardinal

In Zermelo–Fraenkel set theory without the axiom of choice a strong partition cardinal is an uncountable well-ordered cardinal such that every partition of the set of size subsets of into less than pieces has a homogeneous set of size .

Mon 4th

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Strong partition cardinal Partition cardinal Θ (set theory) Inaccessible cardinal Infinitary combinatorics Erdős cardinal Partition problem Axiom of choice Balanced number partitioning Large cardinal
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