Descriptive Set Theory And The Structure Of Sets Of Uniqueness PDF Download
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Author | : A. S. Kechris |
Publisher | : Cambridge University Press |
Total Pages | : 384 |
Release | : 1987-11-27 |
Genre | : Mathematics |
ISBN | : 9780521358118 |
Download Descriptive Set Theory and the Structure of Sets of Uniqueness Book in PDF, ePub and Kindle
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.
Author | : Alexander Kechris |
Publisher | : Springer Science & Business Media |
Total Pages | : 419 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461241901 |
Download Classical Descriptive Set Theory Book in PDF, ePub and Kindle
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.
Author | : Alexander S. Kechris |
Publisher | : |
Total Pages | : 380 |
Release | : 1987 |
Genre | : Descriptive set theory |
ISBN | : 9781107366404 |
Download Descriptive Set Theory and the Structure of Sets of Uniqueness Book in PDF, ePub and Kindle
This book will make an excellent introduction to the subject for graduate students and research workers in set theory and analysis.
Author | : Yiannis N. Moschovakis |
Publisher | : American Mathematical Soc. |
Total Pages | : 521 |
Release | : 2009-06-30 |
Genre | : Mathematics |
ISBN | : 0821848135 |
Download Descriptive Set Theory Book in PDF, ePub and Kindle
Descriptive Set Theory is the study of sets in separable, complete metric spaces that can be defined (or constructed), and so can be expected to have special properties not enjoyed by arbitrary pointsets. This subject was started by the French analysts at the turn of the 20th century, most prominently Lebesgue, and, initially, was concerned primarily with establishing regularity properties of Borel and Lebesgue measurable functions, and analytic, coanalytic, and projective sets. Its rapid development came to a halt in the late 1930s, primarily because it bumped against problems which were independent of classical axiomatic set theory. The field became very active again in the 1960s, with the introduction of strong set-theoretic hypotheses and methods from logic (especially recursion theory), which revolutionized it. This monograph develops Descriptive Set Theory systematically, from its classical roots to the modern ``effective'' theory and the consequences of strong (especially determinacy) hypotheses. The book emphasizes the foundations of the subject, and it sets the stage for the dramatic results (established since the 1980s) relating large cardinals and determinacy or allowing applications of Descriptive Set Theory to classical mathematics. The book includes all the necessary background from (advanced) set theory, logic and recursion theory.
Author | : M. Foreman |
Publisher | : Cambridge University Press |
Total Pages | : 304 |
Release | : 2000-05-25 |
Genre | : Mathematics |
ISBN | : 9780521786447 |
Download Descriptive Set Theory and Dynamical Systems Book in PDF, ePub and Kindle
This volume, first published in 2000, contains a collection of survey papers providing an introduction for graduate students and researchers in these fields.
Author | : Howard Becker |
Publisher | : Cambridge University Press |
Total Pages | : 152 |
Release | : 1996-12-05 |
Genre | : Mathematics |
ISBN | : 0521576059 |
Download The Descriptive Set Theory of Polish Group Actions Book in PDF, ePub and Kindle
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.
Author | : Albrecht Pfister |
Publisher | : Cambridge University Press |
Total Pages | : 191 |
Release | : 1995-09-28 |
Genre | : Mathematics |
ISBN | : 0521467551 |
Download Quadratic Forms with Applications to Algebraic Geometry and Topology Book in PDF, ePub and Kindle
A gem of a book bringing together 30 years worth of results that are certain to interest anyone whose research touches on quadratic forms.
Author | : Stephen J. Gardiner |
Publisher | : Cambridge University Press |
Total Pages | : 150 |
Release | : 1995-05-18 |
Genre | : Mathematics |
ISBN | : 052149799X |
Download Harmonic Approximation Book in PDF, ePub and Kindle
The first book to provide a systematic account of recent developments and applications in harmonic approximation, progresses from classical results concerning uniform approximation on compact sets through fusion techniques to deal with approximation on unbounded sets.
Author | : Alison Etheridge |
Publisher | : Cambridge University Press |
Total Pages | : 356 |
Release | : 1995-07-13 |
Genre | : Mathematics |
ISBN | : 9780521483193 |
Download Stochastic Partial Differential Equations Book in PDF, ePub and Kindle
Consists of papers given at the ICMS meeting held in 1994 on this topic, and brings together some of the world's best known authorities on stochastic partial differential equations.
Author | : Peter Rowlinson |
Publisher | : Cambridge University Press |
Total Pages | : 243 |
Release | : 1995 |
Genre | : Combinatorial analysis |
ISBN | : 0521497973 |
Download Surveys in Combinatorics, 1995 Book in PDF, ePub and Kindle
The fifteenth British Combinatorial Conference took place in July 1995 at the University of Stirling. This volume consists of the papers presented by the invited lecturers at the meeting, and provides an up-to-date survey of current research activity in several areas of combinatorics and its applications. These include distance-regular graphs, combinatorial designs, coding theory, spectra of graphs, and randomness and computation. The articles give an overview of combinatorics that will be extremely useful to both mathematicians and computer scientists.