Dedekind-Endlichkeit und Wohlordenbarkeit
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Publication:1161740
DOI10.1007/BF01369079zbMath0481.03030OpenAlexW4111744MaRDI QIDQ1161740
Publication date: 1982
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/178080
permutation modelsD-finite setsDedekind-finite subsetMostowski-lemmatopological cardinal functionswellordered spaces
Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Consistency and independence results (03E35) Consistency and independence results in general topology (54A35) Separability of topological spaces (54D65) Axiom of choice and related propositions (03E25)
Related Items (9)
Spaces of urelements ⋮ Kinna-Wagner selection principles, axioms of choice and multiple choice ⋮ Spaces of Urelements. II ⋮ Garnir's dream spaces with Hamel bases ⋮ MA(ℵ0) restricted to complete Boolean algebras and choice ⋮ Amorphe Potenzen kompakter Räume ⋮ On the existence of almost disjoint and MAD families without $\mathsf {AC}$ ⋮ sigma-kompakte Räume ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Auswahlaxiom in der Algebra
- Sequential compactness and the axiom of choice
- On a question of Tarski and a maximal theorem of Kurepa
- Models of ZF-set theory
- Geordnete Läuchli Kontinuen
- Two model theoretic ideas in independence proofs
- Classes of Dedekind finite cardinals
- The construction of groups in models of set theory that fail the Axiom of Choice
- Limitations on the Fraenkel-Mostowski method of independence proofs
- The axiom of choice and linearly ordered sets
- Ramsey's theorem in the hierarchy of choice principles
- The interdependence of certain consequences of the axiom of choice
- A remark on the axiom of choice
- The independence of Ramsey's theorem
- A theorem of Stone-Čech type, and a theorem of Tychonoff type, without the axiom of choice; and their realcompact analogues
- Variants of the axiom of choice in set theory with atoms
- Über eine Abschwächung des Auswahlpostulates
- The axiom of choice
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