Selctive ultrafilters and homogeneity
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Publication:1105590
DOI10.1016/0168-0072(88)90027-9zbMath0649.03036OpenAlexW1986090861MaRDI QIDQ1105590
Publication date: 1988
Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0168-0072(88)90027-9
random realhomogeneous setsselective ultrafiltersP-pointsCohen realMahlo cardinalpartition theoremsccc forcingLévy-collapsing
Consistency and independence results (03E35) Large cardinals (03E55) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Other combinatorial set theory (03E05)
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Cites Work
- The strict determinateness of certain infinite games
- Homogeneity problems in the theory of Cech compactifications
- Descriptive set theory
- Proper forcing
- Une méthode topologique pour l'étude de la propriété de Ramsey
- Borel determinacy
- Ultrafilters with small generating sets
- The Shelah P-point independence theorem
- A model of set-theory in which every set of reals is Lebesgue measurable
- A new proof that analytic sets are Ramsey
- Combinatorics on ideals and forcing
- Some points in βN
- Happy families
- Amalgamation of nonstandard models of arithmetic
- Partition Theorems and Ultrafilters
- Borel sets and Ramsey's theorem
- Partial Orders on the Types in βN
- Every analytic set is Ramsey
- Ultrafilters on a countable set
- Ultrafilters and Independent Sets
- The Rudin-Keisler Ordering of P-Points
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