SQUARES, ASCENT PATHS, AND CHAIN CONDITIONS
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Publication:4647110
DOI10.1017/jsl.2018.56zbMath1477.03181arXiv1709.04537OpenAlexW2755183470MaRDI QIDQ4647110
Philipp Lücke, Chris Lambie-Hanson
Publication date: 4 January 2019
Published in: The Journal of Symbolic Logic (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.04537
square principlesKnaster propertylayered posetsproductivity of chain conditionsspecial treeswalks on ordinalsascent paths
Consistency and independence results (03E35) Large cardinals (03E55) Other combinatorial set theory (03E05)
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Cites Work
- Unnamed Item
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- Squares and covering matrices
- Fresh subsets of ultrapowers
- Characterizing large cardinals in terms of layered posets
- Partition relations for partially ordered sets
- Partitioning pairs of countable ordinals
- Set theory. An introduction to independence proofs
- Indexed squares
- Layered posets and Kunen's universal collapse
- SQUARES, SCALES AND STATIONARY REFLECTION
- CHAIN CONDITIONS OF PRODUCTS, AND WEAKLY COMPACT CARDINALS
- Conjectures of Rado and Chang and special Aronszajn trees
- REDUCED POWERS OF SOUSLIN TREES
- Weakly Compact Cardinals and Nonspecial Aronszajn Trees
- Iterated Forcing and Elementary Embeddings
- Reduced powers of $ℵ_2$-trees
- Special Square Sequences
- The ℵ 2 \1-Souslin Hypothesis
- Saturated ideals
- Souslin trees which are hard to specialise
- Simultaneous stationary reflection and square sequences
- Aronszajn trees, square principles, and stationary reflection
- Ascending paths and forcings that specialize higher Aronszajn trees
- SQUARES AND NARROW SYSTEMS
- Aronszajn trees and the independence of the transfer property
- The fine structure of the constructible hierarchy