3 papers
math.LO2010
Chain homogeneous Souslin algebras
Gido Scharfenberger-Fabian
Assuming Jensen's principle diamond-plus we construct Souslin algebras all of whose maximal chains are pairwise isomorphic as total orders, thereby answering questions of Koppelber…
math.LO2009
Optimal Matrices of Partitions and an Application to Souslin Trees
Gido Scharfenberger-Fabian
The basic result of this note is a statement about the existence of families of partitions of the set of natural numbers with some favourable properties, the n-optimal matrices of…
math.LO2009
Souslin Algebra Embeddings
Gido Scharfenberger-Fabian
A Souslin algebra is a complete Boolean algebra whose main features are ruled by a tight combination of an antichain condition with an infinite distributive law. The present articl…