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Author : Vladimir Grigorʹevich Kanoveĭ,Marcin Sabok,Jindřich Zapletal
Publisher : Unknown
Page : 280 pages
File Size : 50,8 Mb
Release : 2013
Category : MATHEMATICS
ISBN : 1107416604
Lays the foundations for a new area of descriptive set theory: the connection between forcing and analytic equivalence relations.
Author : Vladimir Kanovei,Marcin Sabok,Jindřich Zapletal
Publisher : Cambridge University Press
Page : 279 pages
File Size : 52,9 Mb
Release : 2013-09-12
Category : Mathematics
ISBN : 9781107026858
Lays the foundations for a new area of descriptive set theory: the connection between forcing and analytic equivalence relations.
Author : Vladimir Grigorʹevich Kanoveĭ
Publisher : Unknown
Page : 280 pages
File Size : 55,5 Mb
Release : 2013
Category : Polish spaces (Mathematics)
ISBN : 1107417929
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,Marcin Sabok,Jindřich Zapletal
Publisher : Cambridge University Press
Page : 279 pages
File Size : 40,5 Mb
Release : 2013-09-12
Category : Mathematics
ISBN : 9781107434332
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,W. D. Evans
Publisher : Cambridge University Press
Page : 169 pages
File Size : 50,7 Mb
Release : 2022-10-31
Category : Mathematics
ISBN : 9781009254632
Provides an account of fractional Sobolev spaces emphasising applications to famous inequalities. Ideal for graduates and researchers.
Author : Omar El-Fallah,Karim Kellay,Javad Mashreghi,Thomas Ransford
Publisher : Cambridge University Press
Page : 227 pages
File Size : 42,5 Mb
Release : 2014-01-16
Category : Mathematics
ISBN : 9781107047525
The first systematic account of the Dirichlet space, one of the most fundamental Hilbert spaces of analytic functions.
Author : Ralf Schindler
Publisher : Springer
Page : 332 pages
File Size : 41,7 Mb
Release : 2014-05-22
Category : Mathematics
ISBN : 9783319067254
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,John Edward McCarthy,Nicholas John Young
Publisher : Cambridge University Press
Page : 393 pages
File Size : 50,8 Mb
Release : 2020-03-26
Category : Mathematics
ISBN : 9781108485449
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.
Author : David Masser
Publisher : Cambridge University Press
Page : 367 pages
File Size : 54,5 Mb
Release : 2016-07-21
Category : Mathematics
ISBN : 9781107061576
A unified account of a powerful classical method, illustrated by applications in number theory. Aimed at graduates and professionals.
Author : Joseph A. Ball,Vladimir Bolotnikov
Publisher : Cambridge University Press
Page : 439 pages
File Size : 41,8 Mb
Release : 2021-12-16
Category : Mathematics
ISBN : 9781316518991
This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.
Author : Elizabeth S. Meckes
Publisher : Cambridge University Press
Page : 225 pages
File Size : 51,7 Mb
Release : 2019-08
Category : Mathematics
ISBN : 9781108419529
Provides a comprehensive introduction to the theory of random orthogonal, unitary, and symplectic matrices.
Author : Chris Wendl
Publisher : Cambridge University Press
Page : 197 pages
File Size : 54,8 Mb
Release : 2020-03-26
Category : Mathematics
ISBN : 9781108497404
An accessible introduction to the intersection theory of punctured holomorphic curves and its applications in topology.
Author : János Kollár
Publisher : Cambridge University Press
Page : 491 pages
File Size : 50,7 Mb
Release : 2023-04-30
Category : Mathematics
ISBN : 9781009346108
The first complete treatment of the moduli theory of varieties of general type, laying foundations for future research.
Author : Shmuel Weinberger
Publisher : Cambridge University Press
Page : 365 pages
File Size : 40,8 Mb
Release : 2022-11-30
Category : Mathematics
ISBN : 9781107142596
Explains, using examples, the central role of the fundamental group in the geometry, global analysis, and topology of manifolds.
Author : Christian Rosendal
Publisher : Cambridge University Press
Page : 309 pages
File Size : 49,6 Mb
Release : 2021-12-16
Category : Mathematics
ISBN : 9781108842471
Provides a general framework for doing geometric group theory for non-locally-compact topological groups arising in mathematical practice.
