Geodesic
Some combinatorics involving $\xi $-large sets
Teresa Bigorajska 1   ; Henryk Kotlarski 2
1 Faculty of Mathematics Cardinal Stefan Wyszyński University Dewajtis 5, 01-815 Warszawa, Poland
2 Faculty of Mathematics Cardinal Stefan Wyszyński University Dewajtis 5, 01-815 Warszawa, Poland and Institute of Mathematics Academy of Podlasie 08-110 Siedlce, Poland
Fundamenta Mathematicae, Tome 175 (2002) no. 2, pp. 119-125 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove a version of the Ramsey theorem for partitions of (increasing) $n$-tuples. We derive this result from a version of König's infinity lemma for $\xi $-large trees. Here $\xi \varepsilon _ 0$ and the notion of largeness is in the sense of Hardy hierarchy.
DOI : 10.4064/fm175-2-2
Keywords: prove version ramsey theorem partitions increasing n tuples derive result version nigs infinity lemma large trees here varepsilon notion largeness sense hardy hierarchy

Teresa Bigorajska  1   ; Henryk Kotlarski  2

1 Faculty of Mathematics Cardinal Stefan Wyszyński University Dewajtis 5, 01-815 Warszawa, Poland
2 Faculty of Mathematics Cardinal Stefan Wyszyński University Dewajtis 5, 01-815 Warszawa, Poland and Institute of Mathematics Academy of Podlasie 08-110 Siedlce, Poland 
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Teresa Bigorajska; Henryk Kotlarski. Some combinatorics involving $\xi $-large sets. Fundamenta Mathematicae, Tome 175 (2002) no. 2, pp. 119-125. doi: 10.4064/fm175-2-2

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