Set Theory and the Analyst

2018/01/27 by N. H. Bingham, Bingham, N. H., A. J. Ostaszewski +1 · 1 voice
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA

paper · pdf · doi:10.48550/arxiv.1801.09149

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".

Discussions

• Really great stuff, wishing more mathematicians would spend some time writing about their fields like this. Set Theory and the Analyst is another great read with similar themes: arxiv.org/abs/1801.091 [bsky, 4 points, 0 comments]

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