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1

The Classification of Hypersmooth Borel Equivalence Relations

Alexander S. Kechris and Alain Louveau

Journal:

Journal of the American Mathematical Society

Year:

1997

Language:

english

File:

PDF, 2.71 MB

english, 1997

2

10.1090/s0894-0347-97-00221-x

Kechris, Alexander S., Louveau, Alain

Journal:

Journal of the American Mathematical Society

Year:

1997

Language:

english

File:

PDF, 557 KB

english, 1997

3

Some Complete ∑12Sets in Harmonic Analysis

Howard Becker, Sylvain Kahane and Alain Louveau

Journal:

Transactions of the American Mathematical Society

Year:

1993

Language:

english

File:

PDF, 1.40 MB

english, 1993

4

A Separation Theorem for $\sum^1_1$ Sets

Journal:

Transactions of the American Mathematical Society

Year:

1980

Language:

english

File:

PDF, 1.75 MB

english, 1980

5

On Measures Ergodic with Respect to an Analytic Equivalence Relation

Alain Louveau and Gabriel Mokobodzki

Journal:

Transactions of the American Mathematical Society

Year:

1997

Language:

english

File:

PDF, 994 KB

english, 1997

6

$\sigma$-Idéaux Engendrés Par Des Ensembles Fermés Et Théorèmes D'Approximation

Journal:

Transactions of the American Mathematical Society

Year:

1980

Language:

english

File:

PDF, 2.92 MB

english, 1980

7

Two results on borel orders

Journal:

Journal of Symbolic Logic

Year:

1989

Language:

english

File:

PDF, 755 KB

english, 1989

8

Complete Analytic Equivalence Relations

Alain Louveau and Christian Rosendal

Journal:

Transactions of the American Mathematical Society

Year:

2005

Language:

english

File:

PDF, 2.51 MB

english, 2005

9

A Note on Borel Equivalence Relations

Alain Louveau and Boban Velickovic

Journal:

Proceedings of the American Mathematical Society

Year:

1994

Language:

english

File:

PDF, 185 KB

english, 1994

10

[Studies in Logic and the Foundations of Mathematics] Logic, Methodology and Philosophy of Science IX, Proceedings of the Ninth International Congress of Logic, Methodology and Philosophy of Science Volume 134 || On the reducibility order between borel equivalence relations

Year:

1995

Language:

english

File:

PDF, 227 KB

english, 1995

11

A separation theorem for $\Sigma \sp{1}\sb{1}$ sets

Journal:

Transactions of the American Mathematical Society

Year:

1980

File:

PDF, 1.68 MB

1980

12

Borel equivalence relations induced by actions of the symmetric group

Greg Hjorth, Alexander S. Kechris, Alain Louveau

Journal:

Annals of Pure and Applied Logic

Year:

1998

Language:

english

File:

PDF, 2.86 MB

english, 1998

13

Analytic ideals and cofinal types

Alain Louveau, Boban Velickovi

Journal:

Annals of Pure and Applied Logic

Year:

1999

Language:

english

File:

PDF, 1.66 MB

english, 1999

14

Relations d'équivalence analytiques complètes

Alain Louveau, Christian Rosendal

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

2001

Language:

french

File:

PDF, 73 KB

french, 2001

15

Une méthode topologique pour L'etude de la propriété de ramsey

Journal:

Israel Journal of Mathematics

Year:

1976

File:

PDF, 879 KB

1976

16

Axioms of determinacy and biorthogonal systems

Gilles Godefroy, Alain Louveau

Journal:

Israel Journal of Mathematics

Year:

1989

Language:

english

File:

PDF, 380 KB

english, 1989

17

Counting the Number of Equivalence Classes of Borel and Coanalytic Equivalence Relationsby Jack H. Silver;Equivalences Generated by Families of Borel Setsby John P. Burgess;A Reflection Phenomenon in Descriptive Set Theoryby John P. Burgess;Equivalence Relations, Projective and Beyondby L. Harrington; R. Sami; Maurice Boffa; Dirk van Dalen; Kenneth McAlloon;Counting Equivalence Classes for co-κ-Souslin Equivalence Relationsby Leo Harrington; Saharon Shelah; D. van Dalen; D. Lascar; T. J. Smiley;On Lusin's Restricted Continuum Problemby Jacques Stern

Review by: Alain Louveau

Journal:

Journal of Symbolic Logic

Year:

1987

Language:

english

File:

PDF, 110 KB

english, 1987

18

On the quasi-ordering of Borel linear orders under embeddability

Louveau, Alain, Saint-Raymond, Jean

Journal:

Journal of Symbolic Logic

Year:

1990

Language:

english

File:

PDF, 1.58 MB

english, 1990

19

Silver Jack H.. Counting the number of equivalence classes of Borel and coanalytic equivalence relations. Annals of mathematical logic, vol. 18 (1980), pp. 1–28.Burgess John P.. Equivalences generated by families of Borel sets. Proceedings of the American Mathematical Society. vol. 69 (1978), pp. 323–326.Burgess John P.. A reflection phenomenon in descriptive set theory. Fundamenta mathematicae. vol. 104 (1979), pp. 127–139.Harrington L. and Sami R.. Equivalence relations, projective and beyond. Logic Colloquium '78, Proceedings of the Colloquium held in Mons, August 1978, edited by Boffa Maurice, van Dalen Dirk, and McAloon Kenneth, Studies in logic and the foundations of mathematics, vol. 97, North-Holland Publishing Company, Amsterdam, N

Journal:

Journal of Symbolic Logic

Year:

1987

Language:

english

File:

PDF, 326 KB

english, 1987

20

$\sigma $-idéaux engendrés par des ensembles fermés et théorèmes d’approximation

Journal:

Transactions of the American Mathematical Society

Year:

1980

File:

PDF, 2.76 MB

1980

21

Descriptive Set Theory and the Structure of Sets of Uniqueness || THE ALGEBRA A OF FUNCTIONS WITH ABSOLUTELY CONVERGENT FOURIER SERIES, PSEUDOFUNCTIONS AND PSEUDOMEASURES

Kechris, Alexander S., Louveau, Alain

Year:

1987

Language:

english

File:

PDF, 623 KB

english, 1987

22

Effect of cumulative exposure to corticosteroid and DMARD on radiographic progression in rheumatoid arthritis: results from the ESPOIR cohort

Louveau, Baptiste, De Rycke, Yann, Lafourcade, Alexandre, Saraux, Alain, Guillemin, Francis, Tubach, Florence, Fautrel, Bruno, Hajage, David

Journal:

Year:

2018

Language:

english

File:

PDF, 289 KB

english, 2018

23

Descriptive Set Theory and the Structure of Sets of Uniqueness || SYMMETRIC PERFECT SETS AND THE SALEM-ZYGMUND THEOREM

Kechris, Alexander S., Louveau, Alain

Year:

1987

File:

PDF, 441 KB

1987

24

Descriptive Set Theory and the Structure of Sets of Uniqueness || CHARACTERIZING RAJCHMAN MEASURES

Kechris, Alexander S., Louveau, Alain

Year:

1987

File:

PDF, 493 KB

1987

25

Descriptive Set Theory and the Structure of Sets of Uniqueness || EXTENDED UNIQUENESS SETS

Kechris, Alexander S., Louveau, Alain

Year:

1987

File:

PDF, 1.01 MB

1987

26

Descriptive Set Theory and the Structure of Sets of Uniqueness || CLASSIFICATION OF THE COMPLEXITY OF U

Kechris, Alexander S., Louveau, Alain

Year:

1987

File:

PDF, 797 KB

1987

27

Descriptive Set Theory and the Structure of Sets of Uniqueness || INTRODUCTION

Kechris, Alexander S., Louveau, Alain

Year:

1987

File:

PDF, 534 KB

1987

28

Descriptive Set Theory and the Structure of Sets of Uniqueness || TRIGONOMETRIC SERIES AND SETS OF UNIQUENESS

Kechris, Alexander S., Louveau, Alain

Year:

1987

File:

PDF, 685 KB

1987

29

Descriptive Set Theory and the Structure of Sets of Uniqueness || SETS OF RESOLUTION AND SYNTHESIS

Kechris, Alexander S., Louveau, Alain

Year:

1987

File:

PDF, 499 KB

1987

30

Descriptive Set Theory and the Structure of Sets of Uniqueness || Preface

Kechris, Alexander S., Louveau, Alain

Year:

1987

File:

PDF, 35 KB

1987

31

Descriptive Set Theory and the Structure of Sets of Uniqueness || REFERENCES

Kechris, Alexander S., Louveau, Alain

Year:

1987

File:

PDF, 194 KB

1987

32

Descriptive Set Theory and the Structure of Sets of Uniqueness || THE SHRINKING METHOD, THE THEOREM OF KÖRNER AND KAUFMAN, AND THE SOLUTION TO THE BOREL BASIS PROBLEM FOR U

Kechris, Alexander S., Louveau, Alain

Year:

1987

File:

PDF, 884 KB

1987

33

Descriptive Set Theory and the Structure of Sets of Uniqueness || DECOMPOSING U -SETS INTO SIMPLER SETS

Kechris, Alexander S., Louveau, Alain

Year:

1987

File:

PDF, 930 KB

1987

34

Descriptive Set Theory and the Structure of Sets of Uniqueness || THE PIATETSKI-SHAPIRO HIERARCHY OF U -SETS

Kechris, Alexander S., Louveau, Alain

Year:

1987

File:

PDF, 1.21 MB

1987

35

Descriptive Set Theory and the Structure of Sets of Uniqueness || ABOUT THIS BOOK

Kechris, Alexander S., Louveau, Alain

Year:

1987

File:

PDF, 123 KB

1987