4 papers
Fake reflection
Gabriel Fernandes, Miguel Moreno, Assaf Rinot
We introduce a generalization of stationary set reflection which we call "filter reflection", and show it is compatible with the axiom of constructibility as well as with strong fo…
Inclusion modulo nonstationary
Gabriel Fernandes, Miguel Moreno, Assaf Rinot
A classical theorem of Hechler asserts that the structure is universal in the sense that for any -directed poset P with no maximal element, there is a c…
On -completeness of quasi-orders on
Tapani Hyttinen, Vadim Kulikov, Miguel Moreno
We prove under that the inclusion modulo the non-stationary ideal is a -complete quasi-order in the generalized Borel-reducibility hierarchy (). This improvement…
On large cardinals and generalized Baire spaces
David Asperó, Tapani Hyttinen, Vadim Kulikov +1
Working under large cardinal assumptions, we study the Borel-reducibility between equivalence relations modulo restrictions of the non-stationary ideal on some fixed cardinal .…