Descriptive Set Theory And Dynamical Systems PDF Download
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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 | : 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 | : 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 | : M. Foreman |
Publisher | : |
Total Pages | : 302 |
Release | : 2014-05-18 |
Genre | : Electronic books |
ISBN | : 9781107095779 |
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 | : 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 | : Su Gao |
Publisher | : Chapman and Hall/CRC |
Total Pages | : 0 |
Release | : 2008-09-03 |
Genre | : Mathematics |
ISBN | : 9781584887935 |
Download Invariant Descriptive Set Theory Book in PDF, ePub and Kindle
Presents Results from a Very Active Area of Research Exploring an active area of mathematics that studies the complexity of equivalence relations and classification problems, Invariant Descriptive Set Theory presents an introduction to the basic concepts, methods, and results of this theory. It brings together techniques from various areas of mathematics, such as algebra, topology, and logic, which have diverse applications to other fields. After reviewing classical and effective descriptive set theory, the text studies Polish groups and their actions. It then covers Borel reducibility results on Borel, orbit, and general definable equivalence relations. The author also provides proofs for numerous fundamental results, such as the Glimm–Effros dichotomy, the Burgess trichotomy theorem, and the Hjorth turbulence theorem. The next part describes connections with the countable model theory of infinitary logic, along with Scott analysis and the isomorphism relation on natural classes of countable models, such as graphs, trees, and groups. The book concludes with applications to classification problems and many benchmark equivalence relations. By illustrating the relevance of invariant descriptive set theory to other fields of mathematics, this self-contained book encourages readers to further explore this very active area of research.
Author | : Jindřich Zapletal |
Publisher | : American Mathematical Soc. |
Total Pages | : 158 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 0821834509 |
Download Descriptive Set Theory and Definable Forcing Book in PDF, ePub and Kindle
Focuses on the relationship between definable forcing and descriptive set theory; the forcing serves as a tool for proving independence of inequalities between cardinal invariants of the continuum.
Author | : Su Gao |
Publisher | : CRC Press |
Total Pages | : 392 |
Release | : 2008-09-03 |
Genre | : Mathematics |
ISBN | : 9781584887942 |
Download Invariant Descriptive Set Theory Book in PDF, ePub and Kindle
Presents Results from a Very Active Area of ResearchExploring an active area of mathematics that studies the complexity of equivalence relations and classification problems, Invariant Descriptive Set Theory presents an introduction to the basic concepts, methods, and results of this theory. It brings together techniques from various areas of mathem
Author | : Lev D. Beklemishev |
Publisher | : Elsevier |
Total Pages | : 529 |
Release | : 2000-04-01 |
Genre | : Computers |
ISBN | : 0080954952 |
Download SET THEORY Book in PDF, ePub and Kindle
SET THEORY
Author | : Kazimierz Kuratowski |
Publisher | : |
Total Pages | : 514 |
Release | : 1976 |
Genre | : Logica simbolica y matematica |
ISBN | : |
Download Set Theory Book in PDF, ePub and Kindle