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  1. Trees and Stationary Reflection at Double Successors of Regular Cardinals.Thomas Gilton, Maxwell Levine & Šárka Stejskalová - forthcoming - Journal of Symbolic Logic:1-31.
    We obtain an array of consistency results concerning trees and stationary reflection at double successors of regular cardinals $\kappa $, updating some classical constructions in the process. This includes models of $\mathsf {CSR}(\kappa ^{++})\wedge {\sf TP}(\kappa ^{++})$ (both with and without ${\sf AP}(\kappa ^{++})$ ) and models of the conjunctions ${\sf SR}(\kappa ^{++}) \wedge \mathsf {wTP}(\kappa ^{++}) \wedge {\sf AP}(\kappa ^{++})$ and $\neg {\sf AP}(\kappa ^{++}) \wedge {\sf SR}(\kappa ^{++})$ (the latter was originally obtained in joint work by Krueger and (...)
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  • Indestructibility of some compactness principles over models of PFA.Radek Honzik, Chris Lambie-Hanson & Šárka Stejskalová - 2024 - Annals of Pure and Applied Logic 175 (1):103359.
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  • Club stationary reflection and other combinatorial principles at ℵ+2.Thomas Gilton & Šárka Stejskalová - 2025 - Annals of Pure and Applied Logic 176 (1):103489.
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