A partition theorem for triples

E. C. Milner; K. Prikry

doi:10.1090/S0002-9939-1986-0840635-8

A partition theorem for triples

E. C. Milner, K. Prikry

School of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Consider a partition of triples of enumerable ordinals into twc classes. We show that either for each natural number k, the first class contains all triples from a set of type ω + k, or the second class contains all triples of a four element set.

Original language	English (US)
Pages (from-to)	488-494
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	97
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-1986-0840635-8
State	Published - Jul 1986

Keywords

Martin’s Axiom
Partition relation
Real type

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10.1090/S0002-9939-1986-0840635-8

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title = "A partition theorem for triples",

abstract = "Consider a partition of triples of enumerable ordinals into twc classes. We show that either for each natural number k, the first class contains all triples from a set of type ω + k, or the second class contains all triples of a four element set.",

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author = "Milner, \{E. C.\} and K. Prikry",

year = "1986",

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journal = "Proceedings of the American Mathematical Society",

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AU - Prikry, K.

PY - 1986/7

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AB - Consider a partition of triples of enumerable ordinals into twc classes. We show that either for each natural number k, the first class contains all triples from a set of type ω + k, or the second class contains all triples of a four element set.

KW - Martin’s Axiom

KW - Partition relation

KW - Real type

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DO - 10.1090/S0002-9939-1986-0840635-8

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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ER -

A partition theorem for triples

Abstract

Keywords

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