Descriptive Set Theory and the Structure of Sets of Uniqueness

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Cambridge University Press, Nov 27, 1987 - Mathematics - 367 pages
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The authors present some surprising connections that sets of uniqueness for trigonometic series have with descriptive set theory. They present many new results concerning the structure of sets of uniqueness and include solutions to some of the classical problems in this area. Topics covered include symmetric perfect sets and the solution to the Borel Basis Problem for U, the class of sets of uniqueness. To make the material accessible to both logicians, set theorists and analysts, the authors have covered in some detail large parts of the classical and modern theory of sets of uniqueness as well as the relevant parts of descriptive set theory. Because the book is essentially selfcontained and requires the minimum prerequisites, it will serve as an excellent introduction to the subject for graduate students and research workers in set theory and analysis.
 

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Contents

III
21
V
23
VI
25
VII
33
VIII
41
IX
46
X
51
XI
56
XXVIII
174
XXIX
182
XXX
193
XXXII
211
XXXIII
220
XXXIV
231
XXXVI
239
XXXVII
243

XII
62
XIII
69
XIV
75
XV
80
XVII
84
XVIII
87
XIX
90
XX
104
XXII
117
XXIII
131
XXIV
139
XXV
140
XXVI
150
XXVII
161
XXXVIII
260
XXXIX
266
XLI
274
XLII
289
XLIII
300
XLIV
309
XLVI
322
XLVII
328
XLIX
341
L
349
LI
353
LII
359
LIII
363
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