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Invariant Descriptive Set Theory, Gao, Su


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Цена: 9798.00р.
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Автор: Gao, Su
Название:  Invariant Descriptive Set Theory
ISBN: 9780367386962
Издательство: Taylor&Francis
Классификация:

ISBN-10: 0367386968
Обложка/Формат: Paperback
Страницы: 400
Вес: 0.74 кг.
Дата издания: 27.09.2019
Язык: English
Размер: 231 x 155 x 23
Читательская аудитория: Tertiary education (us: college)
Основная тема: Set Theory
Ссылка на Издательство: Link
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Поставляется из: Европейский союз
Описание:

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.




Basic Bundle Theory and K-Cohomology Invariants

Автор: Dale Husem?ller; S. Echterhoff; B. Kr?tz; Michael
Название: Basic Bundle Theory and K-Cohomology Invariants
ISBN: 3642094368 ISBN-13(EAN): 9783642094361
Издательство: Springer
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Цена: 11179.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object.

Representation Theory, Number Theory, and Invariant Theory: In Honor of Roger Howe on the Occasion of His 70th Birthday

Автор: Cogdell Jim, Kim Ju-Lee, Zhu Chen-Bo
Название: Representation Theory, Number Theory, and Invariant Theory: In Honor of Roger Howe on the Occasion of His 70th Birthday
ISBN: 3319866885 ISBN-13(EAN): 9783319866888
Издательство: Springer
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Цена: 22359.00 р.
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Описание: This book contains selected papers based on talks given at the "Representation Theory, Number Theory, and Invariant Theory" conference held at Yale University from June 1 to June 5, 2015.

Representation Theory, Number Theory, and Invariant Theory

Автор: Jim Cogdell; Ju-Lee Kim; Chen-Bo Zhu
Название: Representation Theory, Number Theory, and Invariant Theory
ISBN: 3319597272 ISBN-13(EAN): 9783319597270
Издательство: Springer
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Цена: 20962.00 р.
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Описание: This book contains selected papers based on talks given at the "Representation Theory, Number Theory, and Invariant Theory" conference held at Yale University from June 1 to June 5, 2015.

Descriptive Set Theory and Forcing

Автор: Miller
Название: Descriptive Set Theory and Forcing
ISBN: 1107168066 ISBN-13(EAN): 9781107168060
Издательство: Cambridge Academ
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Цена: 18216.00 р.
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Описание: These notes develop the theory of descriptive sets, leading up to a new proof of Louveau`s separation theorem for analytic sets. A first course in mathematical logic and set theory is assumed, making this book suitable for advanced students and researchers.

Classical Descriptive Set Theory

Автор: Alexander Kechris
Название: Classical Descriptive Set Theory
ISBN: 1461286921 ISBN-13(EAN): 9781461286929
Издательство: Springer
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Цена: 8378.00 р.
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Описание: Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text attempts to present a largely balanced approach, which combines many elements of the different traditions of the subject. It includes a wide variety of examples, exercises (over 400), and applications, in order to illustrate the general concepts and results of the theory.
This text provides a first basic course in classical descriptive set theory and covers material with which mathematicians interested in the subject for its own sake or those that wish to use it in their field should be familiar. Over the years, researchers in diverse areas of mathematics, such as logic and set theory, analysis, topology, probability theory, etc., have brought to the subject of descriptive set theory their own intuitions, concepts, terminology and notation.

A Functorial Model Theory: Newer Applications to Algebraic Topology, Descriptive Sets, and Computing Categories Topos

Автор: Nourani Cyrus F.
Название: A Functorial Model Theory: Newer Applications to Algebraic Topology, Descriptive Sets, and Computing Categories Topos
ISBN: 1926895924 ISBN-13(EAN): 9781926895925
Издательство: Taylor&Francis
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Цена: 18374.00 р.
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Описание:

This book is an introduction to a functorial model theory based on infinitary language categories. The author introduces the properties and foundation of these categories before developing a model theory for functors starting with a countable fragment of an infinitary language. He also presents a new technique for generating generic models with categories by inventing infinite language categories and functorial model theory. In addition, the book covers string models, limit models, and functorial models.

Banach Spaces and Descriptive Set Theory: Selected Topics

Автор: Pandelis Dodos
Название: Banach Spaces and Descriptive Set Theory: Selected Topics
ISBN: 3642121527 ISBN-13(EAN): 9783642121524
Издательство: Springer
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Цена: 4884.00 р.
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Описание: Basic Concepts.- The Standard Borel Space of All Separable Banach Spaces.- The ?2 Baire Sum.- Amalgamated Spaces.- Zippin's Embedding Theorem.- The Bourgain-Pisier Construction.- Strongly Bounded Classes of Banach Spaces.

Descriptive Topology and Functional Analysis II

Автор: Juan Carlos Ferrando
Название: Descriptive Topology and Functional Analysis II
ISBN: 3030173755 ISBN-13(EAN): 9783030173753
Издательство: Springer
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Цена: 19564.00 р.
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Описание: This book is the result of a meeting on Topology and Functional Analysis, and is dedicated to Professor Manuel L?pez-Pellicer's mathematical research. Covering topics in descriptive topology and functional analysis, including topological groups and Banach space theory, fuzzy topology, differentiability and renorming, tensor products of Banach spaces and aspects of Cp-theory, this volume is particularly useful to young researchers wanting to learn about the latest developments in these areas.

Cardinal Invariants on Boolean Algebras

Автор: Monk J. Donald
Название: Cardinal Invariants on Boolean Algebras
ISBN: 3034807295 ISBN-13(EAN): 9783034807296
Издательство: Springer
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Цена: 15233.00 р.
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Описание: Along with almost 200 fascinating open problems, this updated edition covers most of what we know about Boolean cardinal invariants, and includes detailed studies of 21 cardinal number valued functions such as cellularity, defined for any Boolean algebra.


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