Open problems on ultrafilters and some connections to the continuum
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Publication:5351853
DOI10.1090/conm/690/13866zbMath1402.03038OpenAlexW4244747936MaRDI QIDQ5351853
Saharon Shelah, Maryanthe Malliaris
Publication date: 30 August 2017
Published in: Foundations of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/conm/690/13866
Related Items (4)
Cofinality spectrum problems: the axiomatic approach ⋮ Model-theoretic applications of cofinality spectrum problems ⋮ Atomic saturation of reduced powers ⋮ Keisler's order is not simple (and simple theories may not be either)
Cites Work
- Unnamed Item
- Cofinality spectrum problems: the axiomatic approach
- Independence, order, and the interaction of ultrafilters and theories
- Existence of optimal ultrafilters and the fundamental complexity of simple theories
- Regularity of ultrafilters and the core model
- Keisler's order has infinitely many classes
- The spectrum of ultraproducts of finite cardinals for an ultrafilter
- A dividing line within simple unstable theories
- Good ideals in fields of sets
- Constructing regular ultrafilters from a model-theoretic point of view
- On cuts in ultraproducts of linear orders I
- Good and Ok Ultrafilters
- Cofinality spectrum theorems in model theory, set theory, and general topology
- A Comment on “ 𝔭 < t”
- On the combinatorial principle P(c)
- Cardinalities of ultraproducts of finite sets
- General topology meets model theory, on 𝔭 and 𝔱
- Hypergraph sequences as a tool for saturation of ultrapowers
- Ultraproducts of finite sets
- Ultraproducts which are not saturated
- Ultrafilters and Independent Sets
- On some problems of Hausdorff and of Sierpiński
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