Š. Stejskalová

collaborators

4 papers

math.LO2021

Trees and stationary reflection at double successors of regular cardinals

Thomas Gilton, Maxwell Levine, Šárka Stejskalová

We obtain an array of consistency results concerning trees and stationary reflection at double successors of regular cardinals $κ$ , updating some classical constructions in the pro…

math.LO2019

Small u(kappa) at singular kappa with compactness at kappa++

Radek Honzik, Sarka Stejskalova

We show that the tree property, stationary reflection and the failure of approachability at $κ^{++}$ are consistent with $u (κ) = κ^{+} < 2^{κ}$ , where $κ$ is a singular stro…

math.LO2019

Easton's theorem for the tree property below aleph_omega

Sarka Stejskalova

Starting with infinitely many supercompact cardinals, we show that the tree property at every cardinal $ℵ_{n}$ , $1 < n < ω$ , is consistent with an arbitrary continuum function be…

math.LO2019

Indestructibility of the tree property

Radek Honzik, Sarka Stejskalova

In the first part of the paper, we show that if $ω \leq κ < λ$ are cardinals, $κ^{< κ} = κ$ , and $λ$ is weakly compact, then in $V[\M(κ,λ)]$ the tree property at $λ= κ^{++V[\M(κ,λ)]}$…