DECIDING SOME UNDECIDABLE TOPOLOGICAL STATEMENTS*

DOI10.1111/J.1749-6632.1979.TB14105.XzbMath0419.03001OpenAlexW2087506812MaRDI QIDQ3852152

W. Wistar Comfort

Publication date: 1979

Published in: Annals of the New York Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1749-6632.1979.tb14105.x

zbMATH Keywords

Martin's axiomlarge cardinalsconstructibilitycontinuum hypothesisultrafilteraxiom of choicelinear ordercountable chain conditionGödel's incompleteness theoremaxiom of determinacypoint-set topologyStone-Cech compactificationphilosophicalRudin- Keisler orderSouslin's problemundecidable topological statements

Mathematics Subject Classification ID

Descriptive set theory (03E15) Philosophy of mathematics (00A30) Philosophical and critical aspects of logic and foundations (03A05) Research exposition (monographs, survey articles) pertaining to mathematical logic and foundations (03-02) Inner models, including constructibility, ordinal definability, and core models (03E45) Large cardinals (03E55) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Continuum hypothesis and Martin's axiom (03E50) Total orders (06A05) Other set-theoretic hypotheses and axioms (03E65) Axiom of choice and related propositions (03E25) Research exposition (monographs, survey articles) pertaining to general topology (54-02) Determinacy principles (03E60)

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