2 citations · 3 across the 8 of their papers we have counts for
8 papers · 1 filter
Understanding Preservation Theorems, Chapter VI of Proper and Improper Forcing, I
Chaz Schlindwein
This is an exposition of the first two sections of Chapter VI of Shelah's book Proper and Improper Forcing. It covers various preservation theorems for CS iteration of proper forci…
Understanding Preservation Theorems, II
Chaz Schlindwein
This is an exposition of much of Sections VI.3 and XVIII.3 of "Proper and Improper Forcing", including preservations for "no random reals over V", "reals of V form a non-meager set…
Understanding preservation theorems: Chapter VI of Proper and Improper Forcing
Chaz Schlindwein
This expository paper covers the first two sections of chapter VI of Shelah's book "Proper and Improper Forcing," including the preservationn (using CS iterations of proper forcing…
Understanding preservation theorems: omega-omega bounding and Sacks property
Chaz Schlindwein
This is an expository paper for Chapter 6 of Proper and Improper Forcing. Now includes an exposition of Shelah's proof of preservation of Sacks property as well as omega-omega boun…
How special is your Aronszajn tree?
Chaz Schlindwein
The following is consistent: There is a stationary set S such that every Aronszajn tree is S-*-special and there is an Aronszajn tree T such that for every unbounded E we have T is…
Countable support iterations and large continuum
Chaz Schlindwein
We prove that any countable support iteration formed with posets with -p.i.c.\ has -c.c., assuming CH in the ground model and assuming also that is not collapsed. T…
More on forcing iteration
Chaz Schlindwein
The preservation theorems for semi-properness, hemi-properness, and pseudo-completeness hold for countable support iterations as well as revised countable support iterations, notwi…
Revised support iterations and CH
Chaz Schlindwein
Shelah shows that certain revised countable support (RCS) iterations do not add reals. His motivation is to establish the independence (relative to large cardinals) of Avraham's pr…