Optimal matrices of partitions and an application to Souslin trees

• Autorzy: Gido Scharfenberger-Fabian
• Języki publikacji: EN

Abstrakty

EN

The basic result of this note is a statement about the existence of families of partitions of the set of natural numbers with some useful properties, the n-optimal matrices of partitions. We use this to improve a decomposition result for strongly homogeneous Souslin trees. The latter is in turn applied to separate strong notions of rigidity of Souslin trees, thereby answering a considerable portion of a question of Fuchs and Hamkins.

Kategorie tematyczne

• 05A18: Partitions of sets
• 03E05: Other combinatorial set theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2010
• Tom: 210
• Numer: 2
• Strony: 111-131

Daty

wydano

2010

Twórcy

autor

Gido Scharfenberger-Fabian

• Institute of Mathematics and Computer Sciences, Ernst-Moritz-Arndt-University, Walther-Rathenau-Strasse 47, 17487 Greifswald, Germany

Identyfikatory

DOI

10.4064/fm210-2-2