Applications of cohomology to set theory. I: Hausdorff gaps

DOI10.1016/0168-0072(94)00020-4zbMath0824.03029arXivmath/9311205OpenAlexW2034946468MaRDI QIDQ1344282

Daniel E. Talayco

Publication date: 9 November 1995

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9311205

zbMATH Keywords

towerHausdorff gapscardinal estimatescombinatorial hypothesisgap cohomology groupsincollapsing gap

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05) Set theory (03E99) Classical topics in algebraic topology (55M99)

Related Items (9)

AN ALGEBRA WHOSE SUBALGEBRAS ARE CHARACTERIZED BY DENSITY ⋮ Ladder gaps over stationary sets ⋮ Applications of cohomology to set theory. II: Todorčević trees ⋮ A forcing axiom for a non-special Aronszajn tree ⋮ A NONSEPARABLE AMENABLE OPERATOR ALGEBRA WHICH IS NOT ISOMORPHIC TO A -ALGEBRA ⋮ Automorphisms of corona algebras, and group cohomology ⋮ Hausdorff gaps and towers in P(ω)/ Fin ⋮ On a superatomic Boolean algebra which is not generated by a well-founded sublattice ⋮ A coherent family of partial functions on ℕ

Cites Work

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• Set theory. An introduction to independence proofs
• Set theory. An introduction to large cardinals
• A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\)
• Les foncteurs dérivés de lim et leurs applications en théorie des modules
• Cohomology Detects Failures of the Axiom of Choice
• Strong Homology and the Proper Forcing Axiom
• Remarks on Martin's Axiom and the Continuum Hypothesis
• Partition Problems in Topology
• On Countably Compact, Perfectly Normal Spaces
• Variations on ◊
• There Can be C ∗ -Embedded Dense Proper Subspaces in βω- ω

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