Internal forcing axioms: Martin's axiom and the proper forcing axiom
Copyright policy )Internal forcing axioms: Martin's axiom and the proper forcing axiom
This introductory-expository paper contains the basic definitions as well as the most important first consequences of Martin's axiom as the generalization of the Baire category theorem, the non-existence of Luzin sets, results on \(Q\)-sets, non-existence of Suslin trees. The definition of the proper forcing axiom is also given. Further research is assisted by an annotated bibliography.
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mathematical logic and foundations, Research exposition (monographs, survey articles) pertaining to mathematical logic and foundations, Martin's axiom, Continuum hypothesis and Martin's axiom, Baire category theorem, Consistency and independence results, introductory-expository paper, proper forcing axiom
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mathematical logic and foundations, Research exposition (monographs, survey articles) pertaining to mathematical logic and foundations, Martin's axiom, Continuum hypothesis and Martin's axiom, Baire category theorem, Consistency and independence results, introductory-expository paper, proper forcing axiom
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