3 papers
math.LO2003
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…
math.LO2002
Some notes concerning the homogeneity of Boolean algebras and Boolean spaces
Stefan Geschke, Saharon Shelah
We consider homogeneity properties of Boolean algebras that have nonprincipal ultrafilters which are countably generated.It is shown that a Boolean algebra B is homogeneous if it i…
math.LO1999
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.…