Wszystkie pola: Erdös-Rado theorem - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A general 2-part Erdös-Ko-Rado theorem
Autorzy:: Katona, G. O. H.
Powiązania:: https://bibliotekanauki.pl/articles/254727.pdf
Data publikacji:: 2017
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: extremal set theory
two-part problem
intersecting family
Opis:: A two-part extension of the famous Erdös-Ko-Rado Theorem is proved. The underlying set is partitioned into X1 and X2. Some positive integers [formula] are given. We prove that if F is an intersecting family containing members F such that [formula] holds for one of the values I (l ≤ i ≤ m) then |F| cannot exceed the size of the largest subfamily containing one element.
Źródło:: Opuscula Mathematica; 2017, 37, 4; 577-588
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Strong sequences and partition relations
Autorzy:: Jureczko, Joanna
Powiązania:: https://bibliotekanauki.pl/articles/744632.pdf
Data publikacji:: 2017-12-01
Wydawca:: Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:: Strong sequences
Erdös-Rado theorem
partition relations
inaccessible cardinals
singular cardinals
Opis:: The first result in partition relations topic belongs to Ramsey (1930). Since that this topic has been still explored. Probably the most famous partition theorem is Erdös-Rado theorem (1956). On the other hand in 60’s of the last century Efimov introduced strong sequences method, which was used for proving some famous theorems in dyadic spaces. The aim of this paper is to generalize theorem on strong sequences and to show that it is equivalent to generalized version of well-known Erdös-Rado theorem. It will be also shown that this equivalence holds for singulars. Some applications and conclusions will be presented too.
Źródło:: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica; 2017, 16
2300-133X
Pojawia się w:: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Dostawca treści:: Biblioteka Nauki

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