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Canonical Ramsey Theory On Polish Spaces

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Canonical Ramsey Theory On Polish Spaces

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Author : Vladimir Kanovei
language : en
Publisher: Cambridge University Press
Release Date : 2013-09-12

Canonical Ramsey Theory On Polish Spaces written by Vladimir Kanovei 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 2013-09-12 with Mathematics categories.

Lays the foundations for a new area of descriptive set theory: the connection between forcing and analytic equivalence relations.

Canonical Ramsey Theory On Polish Spaces

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Author : Vladimir Grigorʹevich Kanoveĭ
language : en
Publisher:
Release Date : 2013

Canonical Ramsey Theory On Polish Spaces written by Vladimir Grigorʹevich Kanoveĭ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with MATHEMATICS categories.

Lays the foundations for a new area of descriptive set theory: the connection between forcing and analytic equivalence relations.

Canonical Ramsey Theory On Polish Spaces

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Author : Vladimir Grigorʹevich Kanoveĭ
language : en
Publisher:
Release Date : 2013

Canonical Ramsey Theory On Polish Spaces

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Author : Vladimir Grigorʹevich Kanoveĭ
language : en
Publisher:
Release Date : 2013

This book lays the foundations for an exciting new area of research in descriptive set theory. It develops a robust connection between two active topics: forcing and analytic equivalence relations. This in turn allows the authors to develop a generalization of classical Ramsey theory. Given an analytic equivalence relation on a Polish space, can one find a large subset of the space on which it has a simple form? The book provides many positive and negative general answers to this question. The proofs feature proper forcing and Gandy-Harrington forcing, as well as partition arguments. The resul.

Geometric Set Theory

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Author : Paul B. Larson
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-07-16

Geometric Set Theory written by Paul B. Larson 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 2020-07-16 with Education categories.

This book introduces a new research direction in set theory: the study of models of set theory with respect to their extensional overlap or disagreement. In Part I, the method is applied to isolate new distinctions between Borel equivalence relations. Part II contains applications to independence results in Zermelo–Fraenkel set theory without Axiom of Choice. The method makes it possible to classify in great detail various paradoxical objects obtained using the Axiom of Choice; the classifying criterion is a ZF-provable implication between the existence of such objects. The book considers a broad spectrum of objects from analysis, algebra, and combinatorics: ultrafilters, Hamel bases, transcendence bases, colorings of Borel graphs, discontinuous homomorphisms between Polish groups, and many more. The topic is nearly inexhaustible in its variety, and many directions invite further investigation.

Fractional Sobolev Spaces And Inequalities

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Author : D. E. Edmunds
language : en
Publisher: Cambridge University Press
Release Date : 2022-10-13

Fractional Sobolev Spaces And Inequalities written by D. E. Edmunds 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 2022-10-13 with Mathematics categories.

Provides an account of fractional Sobolev spaces emphasising applications to famous inequalities. Ideal for graduates and researchers.

A Primer On The Dirichlet Space

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Author : Omar El-Fallah
language : en
Publisher: Cambridge University Press
Release Date : 2014-01-16

A Primer On The Dirichlet Space written by Omar El-Fallah 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 2014-01-16 with Mathematics categories.

The first systematic account of the Dirichlet space, one of the most fundamental Hilbert spaces of analytic functions.

Set Theory

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Author : Ralf Schindler
language : en
Publisher: Springer
Release Date : 2014-05-22

Set Theory written by Ralf Schindler and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-22 with Mathematics categories.

This textbook gives an introduction to axiomatic set theory and examines the prominent questions that are relevant in current research in a manner that is accessible to students. Its main theme is the interplay of large cardinals, inner models, forcing and descriptive set theory. The following topics are covered: • Forcing and constructability • The Solovay-Shelah Theorem i.e. the equiconsistency of ‘every set of reals is Lebesgue measurable’ with one inaccessible cardinal • Fine structure theory and a modern approach to sharps • Jensen’s Covering Lemma • The equivalence of analytic determinacy with sharps • The theory of extenders and iteration trees • A proof of projective determinacy from Woodin cardinals. Set Theory requires only a basic knowledge of mathematical logic and will be suitable for advanced students and researchers.

Operator Analysis

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Author : Jim Agler
language : en
Publisher: Cambridge University Press
Release Date : 2020-03-26

Operator Analysis written by Jim Agler 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 2020-03-26 with Mathematics categories.

This monograph, aimed at graduate students and researchers, explores the use of Hilbert space methods in function theory. Explaining how operator theory interacts with function theory in one and several variables, the authors journey from an accessible explanation of the techniques to their uses in cutting edge research.

Auxiliary Polynomials In Number Theory

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Author : David Masser
language : en
Publisher: Cambridge University Press
Release Date : 2016-07-21

Auxiliary Polynomials In Number Theory written by David Masser 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 2016-07-21 with Mathematics categories.

A unified account of a powerful classical method, illustrated by applications in number theory. Aimed at graduates and professionals.

Canonical Ramsey Theory On Polish Spaces

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