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pro vyhledávání: '"Stejskalová A"'
Autor:
Krueger, John, Stejskalova, Sarka
We introduce an abstract framework for forcing over a free Suslin tree with suborders of products of forcings which add some structure to the tree using countable approximations. The main ideas of this framework are consistency, separation, and the K
Externí odkaz:
http://arxiv.org/abs/2402.00226
Autor:
Honzik, Radek, Stejskalova, Sarka
We study the relationship between non-trivial values of generalized cardinal invariants at an inaccessible cardinal $\kappa$ and compactness principles at $\kappa^{++}$. We show that if the existence of a supercompact cardinal $\kappa$ with a weakly
Externí odkaz:
http://arxiv.org/abs/2308.13478
Since being isolated by Viale and Weiss in 2009, the Guessing Model Property has emerged as a particularly prominent and powerful consequence of the Proper Forcing Axiom. In this paper, we investigate connections between variations of the Guessing Mo
Externí odkaz:
http://arxiv.org/abs/2303.01366
Autor:
Gilton, Thomas, Stejskalová, Šárka
In this paper we continue the study in [Gilton-Levine-Stejskalova] of compactness and incompactness principles at double successors, focusing here on the case of double successors of singulars of countable cofinality. We obtain models which satisfy t
Externí odkaz:
http://arxiv.org/abs/2212.01198
Autor:
Stejskalová, Tereza tereza@tranzit.org
Publikováno v:
Afterimage. Sep2024, Vol. 51 Issue 3, p71-86. 16p.
We investigate the generalized tree properties and guessing model properties introduced by Wei\ss\ and Viale, as well as natural weakenings thereof, studying the relationships among these properties and between these properties and other prominent co
Externí odkaz:
http://arxiv.org/abs/2209.01925
We show that $\mathsf{PFA}$ (Proper Forcing Axiom) implies that adding any number of Cohen subsets of $\omega$ will not add an $\omega_2$-Aronszajn tree or a weak $\omega_1$-Kurepa tree, and moreover no $\sigma$-centered forcing can add a weak $\omeg
Externí odkaz:
http://arxiv.org/abs/2208.02684
Autor:
Gilton, Thomas, Stejskalová, Šárka
Publikováno v:
In Annals of Pure and Applied Logic January 2025 176(1)
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 \m
Externí odkaz:
http://arxiv.org/abs/2103.15728
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