Geodesic
Some combinatorics involving $\xi $-large sets
Teresa Bigorajska1 ; Henryk Kotlarski2
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.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
@article{10_4064_fm175_2_2,
     author = {Teresa Bigorajska and Henryk Kotlarski},
     title = {Some combinatorics involving $\xi $-large sets},
     journal = {Fundamenta Mathematicae},
     pages = {119--125},
     publisher = {mathdoc},
     volume = {175},
     number = {2},
     year = {2002},
     doi = {10.4064/fm175-2-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm175-2-2/}
}
TY  - JOUR
AU  - Teresa Bigorajska
AU  - Henryk Kotlarski
TI  - Some combinatorics involving $\xi $-large sets
JO  - Fundamenta Mathematicae
PY  - 2002
SP  - 119
EP  - 125
VL  - 175
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm175-2-2/
DO  - 10.4064/fm175-2-2
LA  - en
ID  - 10_4064_fm175_2_2
ER  - 
%0 Journal Article
%A Teresa Bigorajska
%A Henryk Kotlarski
%T Some combinatorics involving $\xi $-large sets
%J Fundamenta Mathematicae
%D 2002
%P 119-125
%V 175
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm175-2-2/
%R 10.4064/fm175-2-2
%G en
%F 10_4064_fm175_2_2
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. http://geodesic.mathdoc.fr/articles/10.4064/fm175-2-2/

Cité par Sources :