Zobrazeno 1 - 10
of 35
pro vyhledávání: '"03E35, 03E17"'
Based on the work of Shelah, Kellner, and T\u{a}nasie (Fund. Math., 166(1-2):109-136, 2000 and Comment. Math. Univ. Carolin., 60(1):61-95, 2019), and the recent developments in the third author's master's thesis, we develop a general theory of iterat
Externí odkaz:
http://arxiv.org/abs/2406.09978
Autor:
Casarosa, Matteo
The derived functors $\lim^n$ of the inverse limit are widely studied for their topological applications, among which are some repercussions on the additivity of strong homology. Set theory has proven useful in dealing with these functors, for instan
Externí odkaz:
http://arxiv.org/abs/2404.08983
Autor:
Garti, Shimon
Addressing a question of Paul Larson we prove the following statement. If Chang's conjecture fails, Martin's axiom holds and the continuum is greater than $\aleph_2$, there are no weakly Laver ideals over $\aleph_1$. We also prove that under Baumgart
Externí odkaz:
http://arxiv.org/abs/2401.13364
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
Autor:
Ikegami, Daisuke, Schlicht, Philipp
We develop a toolbox for forcing over arbitrary models of set theory without the axiom of choice. In particular, we introduce a variant of the countable chain condition and prove an iteration theorem that applies to many classical forcings such as Co
Externí odkaz:
http://arxiv.org/abs/2212.14240
A family $\mathscr{I} \subseteq [\omega]^\omega$ such that for all finite $\{X_i\}_{i\in n}\subseteq \mathcal I$ and $A \in \mathscr{I} \setminus \{X_i\}_{i\in n}$, the set $A \setminus \bigcup_{i < n} X_i$ is infinite, is said to be ideal independen
Externí odkaz:
http://arxiv.org/abs/2206.14019
Autor:
Repovš, Dušan, Zdomskyy, Lyubomyr
Publikováno v:
Arch. Math. Logic 61:7-8 (2022), 995-1005
We introduce a class of proper posets which is preserved under countable support iterations, includes $\omega^\omega$-bounding, Cohen, Miller, and Mathias posets associated to filters with the Hurewicz covering properties, and has the property that t
Externí odkaz:
http://arxiv.org/abs/2204.08257
Autor:
Rinot, Assaf
Motivated by a question from a recent paper by Gilton, Levine and Stejskalova, we obtain a new characterization of the ideal $J[\kappa]$, from which we confirm that $\kappa$-Souslin trees exist in various models of interest. As a corollary we get tha
Externí odkaz:
http://arxiv.org/abs/2104.09151
The strongest type of coloring of pairs of countable ordinals, gotten by Todorcevic from a strongly Luzin set, is shown to be equivalent to the existence of a nonmeager set of reals of size $\aleph_1$. In the other direction, it is shown that the exi
Externí odkaz:
http://arxiv.org/abs/2104.09148
Autor:
Kostana, Ziemowit, Shelah, Saharon
We introduce the family of axioms, denoted $\operatorname{Slice}_\kappa$, that claim the existence of strictly increasing decompositions of the form $$2^{\delta}=\bigcup_{\alpha<\kappa} 2^{\delta}\cap M_\alpha,$$ where $\delta<\kappa$, and $\{M_\alph
Externí odkaz:
http://arxiv.org/abs/2102.11666