Descriptive set theory, from Cantor to Wadge and beyond

Riccardo Camerlo

doi:10.14321/realanalexch.47.1.1593058128

Abstract

The article surveys some selected topics in descriptive set theory, showing how the problem of classifying sets according to their complexity has been tackled since Cantor's creation of the subject to current research.

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Riccardo Camerlo. "Descriptive set theory, from Cantor to Wadge and beyond." Real Anal. Exchange 47 (1) 1 - 24, 2022. https://doi.org/10.14321/realanalexch.47.1.1593058128

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Published: 2022

First available in Project Euclid: 13 June 2022

Digital Object Identifier: 10.14321/realanalexch.47.1.1593058128

Subjects:

Primary: 03-03

Secondary: 01A55 , 01A60 , 01A65

Keywords: Automata , Hierarchies of sets , Reducibilities

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