Canonical Ramsey Theory On Polish Spaces

Author : Vladimir Kanovei
Publisher : Cambridge University Press
ISBN 13 : 1107026857
Total Pages : 279 pages
Book Rating : 4.58/5 ( download)

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Download or read book Canonical Ramsey Theory on Polish Spaces written by Vladimir Kanovei and published by Cambridge University Press. This book was released on 2013-09-12 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lays the foundations for a new area of descriptive set theory: the connection between forcing and analytic equivalence relations.

Author : Vladimir Grigorʹevich Kanoveĭ
Publisher :
ISBN 13 : 9781107416604
Total Pages : 280 pages
Book Rating : 4.04/5 ( download)

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Download or read book Canonical Ramsey Theory on Polish Spaces written by Vladimir Grigorʹevich Kanoveĭ and published by . This book was released on 2013 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lays the foundations for a new area of descriptive set theory: the connection between forcing and analytic equivalence relations.

Author : Vladimir Grigorʹevich Kanoveĭ
Publisher :
ISBN 13 : 9781107421950
Total Pages : 280 pages
Book Rating : 4.50/5 ( download)

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Download or read book Canonical Ramsey Theory on Polish Spaces written by Vladimir Grigorʹevich Kanoveĭ and published by . This book was released on 2013 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Vladimir Kanovei
Publisher : Cambridge University Press
ISBN 13 : 1107434335
Total Pages : 279 pages
Book Rating : 4.32/5 ( download)

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Download or read book Canonical Ramsey Theory on Polish Spaces written by Vladimir Kanovei and published by Cambridge University Press. This book was released on 2013-09-12 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 results include strong canonization theorems for many classes of equivalence relations and sigma-ideals, as well as ergodicity results in cases where canonization theorems are impossible to achieve. Ideal for graduate students and researchers in set theory, the book provides a useful springboard for further research.

Author : D. E. Edmunds
Publisher : Cambridge University Press
ISBN 13 : 1009254634
Total Pages : 169 pages
Book Rating : 4.32/5 ( download)

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Download or read book Fractional Sobolev Spaces and Inequalities written by D. E. Edmunds and published by Cambridge University Press. This book was released on 2022-10-31 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an account of fractional Sobolev spaces emphasising applications to famous inequalities. Ideal for graduates and researchers.

Author : Omar El-Fallah
Publisher : Cambridge University Press
ISBN 13 : 1107047528
Total Pages : 227 pages
Book Rating : 4.25/5 ( download)

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Download or read book A Primer on the Dirichlet Space written by Omar El-Fallah and published by Cambridge University Press. This book was released on 2014-01-16 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first systematic account of the Dirichlet space, one of the most fundamental Hilbert spaces of analytic functions.

Author : Ralf Schindler
Publisher : Springer
ISBN 13 : 3319067257
Total Pages : 332 pages
Book Rating : 4.54/5 ( download)

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Download or read book Set Theory written by Ralf Schindler and published by Springer. This book was released on 2014-05-22 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Jim Agler
Publisher : Cambridge University Press
ISBN 13 : 1108618588
Total Pages : 393 pages
Book Rating : 4.88/5 ( download)

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Download or read book Operator Analysis written by Jim Agler and published by Cambridge University Press. This book was released on 2020-03-26 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows how operator theory interacts with function theory in one and several variables. The authors develop the theory in detail, leading the reader to the cutting edge of contemporary research. It starts with a treatment of the theory of bounded holomorphic functions on the unit disc. Model theory and the network realization formula are used to solve Nevanlinna-Pick interpolation problems, and the same techniques are shown to work on the bidisc, the symmetrized bidisc, and other domains. The techniques are powerful enough to prove the Julia-Carathéodory theorem on the bidisc, Lempert's theorem on invariant metrics in convex domains, the Oka extension theorem, and to generalize Loewner's matrix monotonicity results to several variables. In Part II, the book gives an introduction to non-commutative function theory, and shows how model theory and the network realization formula can be used to understand functions of non-commuting matrices.

Author : David Masser
Publisher : Cambridge University Press
ISBN 13 : 1107061571
Total Pages : 367 pages
Book Rating : 4.76/5 ( download)

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Download or read book Auxiliary Polynomials in Number Theory written by David Masser and published by Cambridge University Press. This book was released on 2016-07-21 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified account of a powerful classical method, illustrated by applications in number theory. Aimed at graduates and professionals.

Author : Joseph A. Ball
Publisher : Cambridge University Press
ISBN 13 : 131651899X
Total Pages : 439 pages
Book Rating : 4.91/5 ( download)

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Download or read book Noncommutative Function-Theoretic Operator Theory and Applications written by Joseph A. Ball and published by Cambridge University Press. This book was released on 2021-12-16 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.