R. Honzik

activity

20132026

most citedIndestructibility of the tree property

7 citations · 7 across the 9 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

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★ 7 cited

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 $λ= κ^{++V[\M(κ,λ)]}$…

math.LO2019

Capturing sets of ordinals by normal ultrapowers

Miha E. Habič, Radek Honzík

We investigate the extent to which ultrapowers by normal measures on $κ$ can be correct about powersets $P (λ)$ for $λ > κ$ . We consider two versions of this questions, the…