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- W2120291297 abstract "The main results of this paper (a) extend the finite Ramsey partition theorem, and (b) employ this extension to obtain a stronger form of the infinite Nash-Williams partition theorem, and also a new proof of Ellentuck’s, and hence Galvin-Prikry’s partition theorem. The proper tool for this unification of the classical partition theorems at a more general and stronger level is the system of Schreier families (Aξ) of finite subsets of the set of natural numbers, defined for every countable ordinal ξ." @default.
- W2120291297 created "2016-06-24" @default.
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- W2120291297 date "2004-04-01" @default.
- W2120291297 modified "2023-09-27" @default.
- W2120291297 title "Ramsey and Nash-Williams combinatorics via Schreier families" @default.
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