1 citations · 1 across the 8 of their papers we have counts for
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The amalgamated limit and its topological interpretation
Joerg Brendle
This is a survey on the amalgamated limit, a limit construction for complete Boolean algebras in iterated forcing theory, which generalizes both the direct limit and the two-step a…
Shattered Iterations
Joerg Brendle
We develop iterated forcing constructions dual to finite support iterations in the sense that they add random reals instead of Cohen reals in limit steps. In view of useful applica…
Base matrices of various heights
Joerg Brendle
A classical theorem of Balcar, Pelant, and Simon says that there is a base matrix of height h, where h is the distributivity number of P(omega)/fin. We show that if the continuum c…
Modern Forcing Techniques related to Finite Support Iteration: Ultrapowers, templates, and submodels
Joerg Brendle
This is an expository paper about several sophisticated forcing techniques closely related to standard finite support iterations of ccc partial orders. We focus on the four topics…
The higher Cichon diagram in the degenerate case
Joerg Brendle
For a regular uncountable cardinal kappa, we discuss the order relationship between the unbounding and dominating numbers on kappa and cardinal invariants of the higher meager idea…
Q
Joerg Brendle
A Q-set is an uncountable set of reals all of whose subsets are relative sets. We prove that, for an arbitrary uncountable cardinal kappa, there is consistently a Q-set of si…