March 2008 The Borel Hierarchy Theorem from Brouwer’s intuitionistic perspective
Wim Veldman
J. Symbolic Logic 73(1): 1-64 (March 2008). DOI: 10.2178/jsl/1208358742

Abstract

In intuitionistic analysis, Brouwer’s Continuity Principle implies, together with an Axiom of Countable Choice, that the positively Borel sets form a genuinely growing hierarchy: every level of the hierarchy contains sets that do not occur at any lower level.

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Wim Veldman. "The Borel Hierarchy Theorem from Brouwer’s intuitionistic perspective." J. Symbolic Logic 73 (1) 1 - 64, March 2008. https://doi.org/10.2178/jsl/1208358742

Information

Published: March 2008
First available in Project Euclid: 16 April 2008

zbMATH: 1148.03039
MathSciNet: MR2387932
Digital Object Identifier: 10.2178/jsl/1208358742

Rights: Copyright © 2008 Association for Symbolic Logic

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Vol.73 • No. 1 • March 2008
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