Optimal matrices of partitions and an application to Souslin trees

Gido Scharfenberger-Fabian. "Optimal matrices of partitions and an application to Souslin trees." Fundamenta Mathematicae 210.2 (2010): 111-131. <http://eudml.org/doc/282796>.

@article{GidoScharfenberger2010,
abstract = {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.},
author = {Gido Scharfenberger-Fabian},
journal = {Fundamenta Mathematicae},
keywords = {Souslin trees; homogeneity; rigidity; partition},
language = {eng},
number = {2},
pages = {111-131},
title = {Optimal matrices of partitions and an application to Souslin trees},
url = {http://eudml.org/doc/282796},
volume = {210},
year = {2010},
}

TY - JOUR
AU - Gido Scharfenberger-Fabian
TI - Optimal matrices of partitions and an application to Souslin trees
JO - Fundamenta Mathematicae
PY - 2010
VL - 210
IS - 2
SP - 111
EP - 131
AB - 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.
LA - eng
KW - Souslin trees; homogeneity; rigidity; partition
UR - http://eudml.org/doc/282796
ER -