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Partitions into odd chains

โœ Scribed by D. de Werra

Book ID
110572850
Publisher
Springer-Verlag
Year
1987
Tongue
English
Weight
436 KB
Volume
37
Category
Article
ISSN
0025-5610

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In the setting of ZF, i.e., Zermelo-Fraenkel set theory without the Axiom of Choice (AC), we study partitions of Russell-sets into sets each with exactly n elements (called n-ary partitions), for some integer n. We show that if n is odd, then a Russell-set X has an n-ary partition if and only if |X|