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A constructive version of the Lusin Separation Peter Aczel
 

Summary: A constructive version of the Lusin Separation
Theorem
Peter Aczel
petera@cs.man.ac.uk
Departments of Mathematics and Computer Science
Manchester University
July 16, 2006
Contents
1 Introduction 2
2 Constructive Borel sets 6
3 Inductive definitions in CZF 8
4 Trees on N 9
5 Analytic sets 13
6 Strong Borel Separation 16
7 The Main Lemma 20
8 Positive Disjointness 22
9 Strictly analytic sets 24
1
1 Introduction
The aim of this note is to state and prove a constructive version of the

  

Source: Aczel, Peter - Departments of Mathematics & Computer Science, University of Manchester

 

Collections: Mathematics