The \(P\)-ideal dichotomy, Martin's axiom and entangled sets
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Publication:6635149
DOI10.1007/S11856-024-2651-8MaRDI QIDQ6635149
Osvaldo Guzmán, Stevo Todorčević
Publication date: 9 November 2024
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Cites Work
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- Why Y-c.c.
- SPFA by finite conditions
- \(L\)-spaces and the \(P\)-ideal dichotomy
- All automorphisms of the Calkin algebra are inner
- Combinatorial dichotomies and cardinal invariants
- Generalized side-conditions and Moore-Mrówka
- A family of covering properties
- A five element basis for the uncountable linear orders
- Set theory. An introduction to independence proofs
- Martin's axiom does not imply that every two \(chi_ 1-\)dense sets of reals are isomorphic
- Topics in set theory. Lebesgue measurability, large cardinals, forcing axioms, rho-functions
- Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
- Walks on ordinals and their characteristics
- Two applications of finite side conditions at \(\omega _2\)
- Baumgartner's isomorphism problem for \(\aleph _2\)-dense suborders of \(\mathbb {R}\)
- There may be no minimal non-\(\sigma\)-scattered linear orders
- Forcing with sequences of models of two types
- \(\omega_1\) and \(-\omega_1\) may be the only minimal uncountable linear orders
- Notes on forcing axioms
- Set theory.
- Proper Forcing
- Combinatorial Cardinal Characteristics of the Continuum
- Combinatorial Dichotomies in Set Theory
- PRESERVATION OF SUSLIN TREES AND SIDE CONDITIONS
- P-ideal dichotomy and a strong form of the Suslin Hypothesis
- A fragment of Asperó–Mota’s finitely proper forcing axiom and entangled sets of reals
- Minimality of non-σ-scattered orders
- Weak Distributivity, A Problem of Von Neumann and the Mystery of Measurability
- Directed Sets and Cofinal Types
- Homeomorphisms of Manifolds with Prescribed Behaviour on Large Dense Sets
- Partition Problems in Topology
- Open colorings, the continuum and the second uncountable cardinal
- A proof of Nogura’s conjecture
- Analytic quotients: theory of liftings for quotients over analytic ideals on the integers
- Set Theory
- P-ideal dichotomy and weak squares
- Characterizing large cardinals through Neeman's pure side condition forcing
- Hausdorff gaps and towers in P(ω)/ Fin
- Αll $ℵ_1$-dense sets of reals can be isomorphic
- A NEW MINIMAL NON-σ-SCATTERED LINEAR ORDER
- A note on a forcing related to the S‐space problem in the extension with a coherent Suslin tree
- Forcing consequences of $PFA$ together with the continuum large
- Proper forcing remastered
- RETRACTED – MEASURING CLUB-SEQUENCES TOGETHER WITH THE CONTINUUM LARGE
- Indestructible properties of \(S\)- and \(L\)-spaces
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