10 citations · 41 across the 13 of their papers we have counts for
17 papers
The Diagonal Strong Reflection Principle and its fragments
Sean Cox, Gunter Fuchs
A diagonal version of the strong reflection principle is introduced, along with fragments of this principle associated to arbitrary forcing classes. The relationships between the r…
Canonical fragments of the strong reflection principle
Gunter Fuchs
For an arbitrary forcing class , the -fragment of Todorcevic's strong reflection principle SRP is isolated in such a way that (1) the forcing axiom for implies the -fr…
Iteration theorems for subversions of forcing classes
Gunter Fuchs, Corey Bacal Switzer
We prove various iteration theorems for forcing classes related to subproper and subcomplete forcing, introduced by Jensen. In the first part, we use revised countable support iter…
Separating diagonal stationary reflection principles
Gunter Fuchs, Chris Lambie-Hanson
We introduce three families of diagonal reflection principles for matrices of stationary sets of ordinals. We analyze both their relationships among themselves and their relationsh…
Aronszajn tree preservation and bounded forcing axioms
Gunter Fuchs
I investigate the relationships between three hierarchies of reflection principles for a forcing class : the hierarchy of bounded forcing axioms, of -absoluteness and of…
Weak square and stationary reflection
Gunter Fuchs, Assaf Rinot
It is well-known that the square principle entails the existence of a non-reflecting stationary subset of , whereas the weak square principle does no…