Classical Descriptive Set Theory

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.

Classical Descriptive Set Theory

Classical Descriptive Set Theory

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.

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Classical Descriptive Set Theory
Language: en
Pages: 404
Authors: Alexander Kechris
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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,
Descriptive Set Theory
Language: en
Pages: 502
Authors: Yiannis N. Moschovakis
Categories: Mathematics
Type: BOOK - Published: 2009-06-30 - Publisher: American Mathematical Soc.

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
Descriptive Set Theory and the Structure of Sets of Uniqueness
Language: en
Pages: 367
Authors: A. S. Kechris, Alexander A. Kechris, Alain Louveau
Categories: Mathematics
Type: BOOK - Published: 1987-11-27 - Publisher: Cambridge University Press

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
Language: en
Pages: 392
Authors: Su Gao
Categories: Mathematics
Type: BOOK - Published: 2019-08-30 - Publisher: CRC Press

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
Banach Spaces and Descriptive Set Theory: Selected Topics
Language: en
Pages: 161
Authors: Pandelis Dodos
Categories: Mathematics
Type: BOOK - Published: 2010-05-10 - Publisher: Springer Science & Business Media

This volume deals with problems in the structure theory of separable infinite-dimensional Banach spaces, with a central focus on universality problems. This topic goes back to the beginnings of the field and appears in Banach's classical monograph. The novelty of the approach lies in the fact that the answers to

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