Set Theory and the Analyst

DOI10.1007/S40879-018-0278-1arXiv1801.09149WikidataQ129097713 ScholiaQ129097713MaRDI QIDQ6297009

Publication date: 27 January 2018

Abstract: This survey is motivated by specific questions arising in the similarities and contrasts between (Baire) category and (Lebesgue) measure -- category-measure duality and non-duality, as it were. The bulk of the text is devoted to a summary, intended for the working analyst, of the extensive background in set theory and logic needed to discuss such matters: to quote from the Preface of Kelley [Kel]: "what every young analyst should know".

Mathematics Subject Classification ID

Descriptive set theory (03E15) History of mathematics in the 20th century (01A60) History of mathematics in the 21st century (01A61) Consistency and independence results (03E35) Large cardinals (03E55) History of mathematical logic and foundations (03-03) Axiom of choice and related propositions (03E25)

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