4 papers · 1 filter
Coloring ordinals by reals
Jörg Brendle, Sakaé Fuchino
We study combinatorial principles we call Homogeneity Principle HP(κ) and Injectivity Principle IP(κ,λ) for regular κ>\aleph_1 and λ\leqκwhich are formulated in terms of coloring t…
Remarks on a paper by Juhász and Kunen
Sakae Fuchino, Stefan Geschke
We give an equivalent, but simpler formulation of the axiom SEP introduced by Juhasz and Kunen. Our formulation shows that many of the consequences of the weak Freese-Nation Proper…
On the weak Freese-Nation property of complete Boolean algebras
Sakaé Fuchino, Stefan Geschke, Saharon Shelah +1
The following results are proved: (a) In a model obtained by adding aleph_2 Cohen reals, there is always a c.c.c. complete Boolean algebra without the weak Freese-Nation property.…
On absolutely divergent series
Sakae Fuchino, Heike Mildenberger, Saharon Shelah +1
We show that in the aleph_2-stage countable support iteration of Mathias forcing over a model of CH the complete Boolean algebra generated by absolutely divergent series under even…