- 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
Artykuł