Geodesic
Optimal matrices of partitions and an application to Souslin trees
Gido Scharfenberger-Fabian1
1 Institute of Mathematics and Computer Sciences Ernst-Moritz-Arndt-University Walther-Rathenau-Strasse 47 17487 Greifswald, Germany
Fundamenta Mathematicae, Tome 210 (2010) no. 2, pp. 111-131

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

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.
DOI : 10.4064/fm210-2-2
Keywords: basic result note statement about existence families partitions set natural numbers useful properties n optimal matrices partitions improve decomposition result strongly homogeneous souslin trees latter turn applied separate strong notions rigidity souslin trees thereby answering considerable portion question fuchs hamkins

Gido Scharfenberger-Fabian 1

1 Institute of Mathematics and Computer Sciences Ernst-Moritz-Arndt-University Walther-Rathenau-Strasse 47 17487 Greifswald, Germany 
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Gido Scharfenberger-Fabian. Optimal matrices of partitions
 and an application to Souslin trees. Fundamenta Mathematicae, Tome 210 (2010) no. 2, pp. 111-131. doi: 10.4064/fm210-2-2

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