Descriptive Set Theory And The Structure Of Sets Of Uniqueness
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Descriptive Set Theory and the Structure of Sets of Uniqueness
Author | : A. S. Kechris,Alain Louveau |
Publsiher | : Cambridge University Press |
Total Pages | : 384 |
Release | : 1987-11-27 |
Genre | : Mathematics |
ISBN | : 0521358116 |
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To make this work accessible to logicians as well as set theorists and analysts, classical and modern theory of sets of uniqueness are covered as well as the relevant parts of descriptive set theory.
Classical Descriptive Set Theory
Author | : Alexander Kechris |
Publsiher | : Springer Science & Business Media |
Total Pages | : 419 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9781461241904 |
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Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text presents a largely balanced approach to the subject, which combines many elements of the different traditions. It includes a wide variety of examples, more than 400 exercises, and applications, in order to illustrate the general concepts and results of the theory.
Descriptive Set Theory and the Structure of Sets of Uniqueness
Author | : Alexander S. Kechris,Alain Louveau |
Publsiher | : Unknown |
Total Pages | : 380 |
Release | : 1987 |
Genre | : Descriptive set theory |
ISBN | : 1107366402 |
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This book will make an excellent introduction to the subject for graduate students and research workers in set theory and analysis.
The Descriptive Set Theory of Polish Group Actions
Author | : Howard Becker,A. S. Kechris |
Publsiher | : Cambridge University Press |
Total Pages | : 152 |
Release | : 1996-12-05 |
Genre | : Mathematics |
ISBN | : 9780521576055 |
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In this book the authors present their research into the foundations of the theory of Polish groups and the associated orbit equivalence relations. The particular case of locally compact groups has long been studied in many areas of mathematics. Non-locally compact Polish groups occur naturally as groups of symmetries in such areas as logic (especially model theory), ergodic theory, group representations, and operator algebras. Some of the topics covered here are: topological realizations of Borel measurable actions; universal actions; applications to invariant measures; actions of the infinite symmetric group in connection with model theory (logic actions); dichotomies for orbit spaces (including Silver, Glimm-Effros type dichotomies and the topological Vaught conjecture); descriptive complexity of orbit equivalence relations; definable cardinality of orbit spaces.
Descriptive Set Theory and Dynamical Systems
Author | : M. Foreman |
Publsiher | : Cambridge University Press |
Total Pages | : 304 |
Release | : 2000-05-25 |
Genre | : Mathematics |
ISBN | : 0521786444 |
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This volume, first published in 2000, contains a collection of survey papers providing an introduction for graduate students and researchers in these fields.
Set Theory of the Continuum
Author | : Haim Judah,Winfried Just,Hugh Woodin |
Publsiher | : Springer Science & Business Media |
Total Pages | : 417 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9781461397540 |
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Primarily consisting of talks presented at a workshop at the MSRI during its "Logic Year" 1989-90, this volume is intended to reflect the whole spectrum of activities in set theory. The first section of the book comprises the invited papers surveying the state of the art in a wide range of topics of set-theoretic research. The second section includes research papers on various aspects of set theory and its relation to algebra and topology. Contributors include: J.Bagaria, T. Bartoszynski, H. Becker, P. Dehornoy, Q. Feng, M. Foreman, M. Gitik, L. Harrington, S. Jackson, H. Judah, W. Just, A.S. Kechris, A. Louveau, S. MacLane, M. Magidor, A.R.D. Mathias, G. Melles, W.J. Mitchell, S. Shelah, R.A. Shore, R.I. Soare, L.J. Stanley, B. Velikovic, H. Woodin.
Selected Works of Ilya Piatetski Shapiro
Author | : James Cogdell,Simon Gindikin,Peter Sarnak |
Publsiher | : American Mathematical Society |
Total Pages | : 852 |
Release | : 2022-11-03 |
Genre | : Mathematics |
ISBN | : 9781470454944 |
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This selection of papers of I. Piatetski-Shapiro represents almost 50 years of his mathematical activity. Included are many of his major papers in harmonic analysis, number theory, discrete groups, bounded homogeneous domains, algebraic geometry, automorphic forms, and automorphic $L$-functions. The papers in the volume are intended as a representative and accurate reflection of both the breadth and depth of Piatetski-Shapiro's work in mathematics. Some of his early works, such as those on the prime number theorem and on sets of uniqueness for trigonometric series, appear for the first time in English. Also included are several commentaries by his close colleagues. This volume offers an elegant representation of the contributions made by this renowned mathematician.
Selected Works of Ilya Piatetski Shapiro
Author | : Ilʹi︠a︡ Iosifovich Pi︠a︡tet︠s︡kiĭ-Shapiro |
Publsiher | : American Mathematical Soc. |
Total Pages | : 860 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 082180930X |
Download Selected Works of Ilya Piatetski Shapiro Book in PDF, Epub and Kindle
This selection of papers of Ilya Piatetski-Shapiro represents almost 50 years of his mathematical activity. Included are many of his major papers in harmonic analysis, number theory, discrete groups, bounded homogeneous domains, algebraic geometry, automorphic forms, and automorphic L-functions. The papers in the volume are intended as a representative and accurate reflection of both the breadth and depth of Piatetski-Shapiro's work in mathematics. Some of his early works, such as those on the prime number theorem and on sets of uniqueness for trigonometric series, appear for the first time in English. Also included are several commentaries by his close colleagues. This volume offers an elegant representation of the contributions made by this renowned mathematician.