Name: Omitting types: application to descriptive set theory
Creator: Richard Mansfield
Keywords: 4. Education, 1. No poverty, 0101 mathematics, Descriptive set theory, 01 natural sciences, Hierarchies of computability and definability

Omitting types: Application to descriptive set theory

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1975 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 47, pages 198-200 (issn: 0002-9939, eissn: 1088-6826,

Authors: Richard Mansfield;

doi: 10.1090/s0002-9939-1975-0354371-0 , 10.2307/2040232

Omitting types: application to descriptive set theory

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Abstract

The omitting types theorem of infinitary logic is used to prove that every small Π 1 1 \Pi _1^1 set of analysis or any small Σ 1 {\Sigma _1} set of set theory is constructible.

Keywords

Descriptive set theory, Hierarchies of computability and definability

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