LMS: 128 Descriptive Set Theory (London Mathematical Society Lecture Note Series, Series Number 128) - Softcover
Inhaltsangabe
The study of sets of uniqueness for trigonometric series has a long history, originating in the work of Riemann, Heine, and Cantor in the mid-nineteenth century. Since then it has been a fertile ground for numerous investigations involving real analysis, classical and abstract harmonic analysis, measure theory, functional analysis and number theory. In this book are developed the intriguing and surprising connections that the subject has with descriptive set theory. These have only been discovered recently and the authors present here this novel theory which leads to many new results concerning the structure of sets of uniqueness and include solutions to some of the classical problems in this area. In order to make the material accessible to 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. Thus the book is essentially self-contained and will make an excellent introduction to the subject for graduate students and research workers in set theory and analysis.
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Über die Autorin bzw. den Autor
Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.
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LMS: 128 Descriptive Set Theory (London Mathematical Society Lecture Note Series, Series Number 128)
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Descriptive Set Theory and the Structure of Sets of Uniqueness
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LMS: 128 Descriptive Set Theory (London Mathematical Society Lecture Note Series, Series Number 128)
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Descriptive Set Theory and the Structure of Sets of Uniqueness (London Mathematical Society Lecture Note Series 128)
Verlag:
Cambridge University Press, 1987
ISBN 10: 0521358116
ISBN 13: 9780521358118
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Descriptive Set Theory and the Structure of Sets of Uniqueness
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Descriptive Set Theory and the Structure of Sets of Uniqueness
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Descriptive Set Theory and the Structure of Sets of Uniqueness (London Mathematical Society Lecture Note Series, Series Number 128)
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Cambridge University Press, 1987
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Descriptive Set Theory and the Structure of Sets of Uniqueness (London Mathematical Society Lecture Note Series, Series Number 128)
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Descriptive Set Theory and the Structure of Sets of Uniqueness (Paperback)
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Cambridge University Press, Cambridge, 1987
ISBN 10: 0521358116
ISBN 13: 9780521358118
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Paperback. Zustand: new. Paperback. The study of sets of uniqueness for trigonometric series has a long history, originating in the work of Riemann, Heine, and Cantor in the mid-nineteenth century. Since then it has been a fertile ground for numerous investigations involving real analysis, classical and abstract harmonic analysis, measure theory, functional analysis and number theory. In this book are developed the intriguing and surprising connections that the subject has with descriptive set theory. These have only been discovered recently and the authors present here this novel theory which leads to many new results concerning the structure of sets of uniqueness and include solutions to some of the classical problems in this area. In order to make the material accessible to 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. Thus the book is essentially self-contained and will make an excellent introduction to the subject for graduate students and research workers in set theory and analysis. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9780521358118