Home eBooks Download › descriptive set theory and dynamical systems

Descriptive Set Theory And Dynamical Systems

Download Descriptive Set Theory And Dynamical Systems PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Descriptive Set Theory And Dynamical Systems book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Descriptive Set Theory And Dynamical Systems

DOWNLOAD
Author : M. Foreman
language : en
Publisher: Cambridge University Press
Release Date : 2000-05-25

Descriptive Set Theory And Dynamical Systems written by M. Foreman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-05-25 with Mathematics categories.

This volume, first published in 2000, contains a collection of survey papers providing an introduction for graduate students and researchers in these fields.

Descriptive Set Theory And Dynamical Systems

DOWNLOAD
Author : M. Foreman
language : en
Publisher:
Release Date : 2014-05-18

Descriptive Set Theory And Dynamical Systems written by M. Foreman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-18 with Electronic books categories.

This volume, first published in 2000, contains a collection of survey papers providing an introduction for graduate students and researchers in these fields.

Descriptive Set Theory

DOWNLOAD
Author : Yiannis N. Moschovakis
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-06-30

Descriptive Set Theory written by Yiannis N. Moschovakis and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-30 with Mathematics categories.

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.

Descriptive Set Theory And The Structure Of Sets Of Uniqueness

DOWNLOAD
Author : A. S. Kechris
language : en
Publisher: Cambridge University Press
Release Date : 1987-11-27

Descriptive Set Theory And The Structure Of Sets Of Uniqueness written by A. S. Kechris and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-11-27 with Mathematics categories.

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.

Invariant Descriptive Set Theory

DOWNLOAD
Author : Su Gao
language : en
Publisher: Chapman and Hall/CRC
Release Date : 2008-09-03

Invariant Descriptive Set Theory written by Su Gao and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-03 with Mathematics categories.

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.

Descriptive Set Theory And Definable Forcing

DOWNLOAD
Author : Jindřich Zapletal
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

Descriptive Set Theory And Definable Forcing written by Jindřich Zapletal and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

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.

Forcing Idealized

DOWNLOAD
Author : Jindrich Zapletal
language : en
Publisher: Cambridge University Press
Release Date : 2008-02-07

Forcing Idealized written by Jindrich Zapletal and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-07 with Mathematics categories.

Descriptive set theory and definable proper forcing are two areas of set theory that developed quite independently of each other. This monograph unites them and explores the connections between them. Forcing is presented in terms of quotient algebras of various natural sigma-ideals on Polish spaces, and forcing properties in terms of Fubini-style properties or in terms of determined infinite games on Boolean algebras. Many examples of forcing notions appear, some newly isolated from measure theory, dynamical systems, and other fields. The descriptive set theoretic analysis of operations on forcings opens the door to applications of the theory: absoluteness theorems for certain classical forcing extensions, duality theorems, and preservation theorems for the countable support iteration. Containing original research, this text highlights the connections that forcing makes with other areas of mathematics, and is essential reading for academic researchers and graduate students in set theory, abstract analysis and measure theory.

Invariant Descriptive Set Theory

DOWNLOAD
Author : Su Gao
language : en
Publisher: CRC Press
Release Date : 2008-09-03

Invariant Descriptive Set Theory written by Su Gao and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-03 with Mathematics categories.

Handbook Of Computability And Complexity In Analysis

DOWNLOAD
Author : Vasco Brattka
language : en
Publisher: Springer Nature
Release Date : 2021-06-04

Handbook Of Computability And Complexity In Analysis written by Vasco Brattka and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-04 with Computers categories.

Computable analysis is the modern theory of computability and complexity in analysis that arose out of Turing's seminal work in the 1930s. This was motivated by questions such as: which real numbers and real number functions are computable, and which mathematical tasks in analysis can be solved by algorithmic means? Nowadays this theory has many different facets that embrace topics from computability theory, algorithmic randomness, computational complexity, dynamical systems, fractals, and analog computers, up to logic, descriptive set theory, constructivism, and reverse mathematics. In recent decades computable analysis has invaded many branches of analysis, and researchers have studied computability and complexity questions arising from real and complex analysis, functional analysis, and the theory of differential equations, up to (geometric) measure theory and topology. This handbook represents the first coherent cross-section through most active research topics on the more theoretical side of the field. It contains 11 chapters grouped into parts on computability in analysis; complexity, dynamics, and randomness; and constructivity, logic, and descriptive complexity. All chapters are written by leading experts working at the cutting edge of the respective topic. Researchers and graduate students in the areas of theoretical computer science and mathematical logic will find systematic introductions into many branches of computable analysis, and a wealth of information and references that will help them to navigate the modern research literature in this field.

Set Theory

DOWNLOAD
Author : Thomas Jech
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-23

Set Theory written by Thomas Jech and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-23 with Mathematics categories.

This monograph covers the recent major advances in various areas of set theory. From the reviews: "One of the classical textbooks and reference books in set theory....The present ‘Third Millennium’ edition...is a whole new book. In three parts the author offers us what in his view every young set theorist should learn and master....This well-written book promises to influence the next generation of set theorists, much as its predecessor has done." --MATHEMATICAL REVIEWS

Descriptive Set Theory And Dynamical Systems

Recent Posts