The Descriptive Set Theory Of Polish Group Actions PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Descriptive Set Theory Of Polish Group Actions PDF full book. Access full book title The Descriptive Set Theory Of Polish Group Actions.
| Author | : Howard Becker |
| Publisher | : Cambridge University Press |
| Total Pages | : 152 |
| Release | : 1996-12-05 |
| Genre | : Mathematics |
| ISBN | : 0521576059 |
Download The Descriptive Set Theory of Polish Group Actions Book in PDF, ePub and Kindle
In this book the authors present their research into the foundations of the theory of Polish groups and the associated orbit equivalence relations. The particular case of locally compact groups has long been studied in many areas of mathematics. Non-locally compact Polish groups occur naturally as groups of symmetries in such areas as logic (especially model theory), ergodic theory, group representations, and operator algebras. Some of the topics covered here are: topological realizations of Borel measurable actions; universal actions; applications to invariant measures; actions of the infinite symmetric group in connection with model theory (logic actions); dichotomies for orbit spaces (including Silver, Glimm-Effros type dichotomies and the topological Vaught conjecture); descriptive complexity of orbit equivalence relations; definable cardinality of orbit spaces.
| Author | : Su Gao |
| Publisher | : CRC Press |
| Total Pages | : 392 |
| Release | : 2008-09-03 |
| Genre | : Mathematics |
| ISBN | : 9781584887942 |
Download Invariant Descriptive Set Theory Book in PDF, ePub and Kindle
Presents Results from a Very Active Area of ResearchExploring 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 mathem
| Author | : Alexander Kechris |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 419 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461241901 |
Download Classical Descriptive Set Theory Book in PDF, ePub and Kindle
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.
| Author | : Howard Becker |
| Publisher | : |
| Total Pages | : 152 |
| Release | : 1996 |
| Genre | : Electronic books |
| ISBN | : 9781107367371 |
Download The Descriptive Set Theory of Polish Group Actions Book in PDF, ePub and Kindle
Research monograph on set theory by two of the world's leading researchers.
| Author | : A. S. Kechris |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 258 |
| Release | : 2010 |
| Genre | : Mathematics |
| ISBN | : 0821848941 |
Download Global Aspects of Ergodic Group Actions Book in PDF, ePub and Kindle
A study of ergodic, measure preserving actions of countable discrete groups on standard probability spaces. It explores a direction that emphasizes a global point of view, concentrating on the structure of the space of measure preserving actions of a given group and its associated cocycle spaces.
| Author | : Paul B. Larson |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 330 |
| Release | : 2020-07-16 |
| Genre | : Education |
| ISBN | : 1470454629 |
Download Geometric Set Theory Book in PDF, ePub and Kindle
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.
| Author | : M. Foreman |
| Publisher | : Cambridge University Press |
| Total Pages | : 304 |
| Release | : 2000-05-25 |
| Genre | : Mathematics |
| ISBN | : 9780521786447 |
Download Descriptive Set Theory and Dynamical Systems Book in PDF, ePub and Kindle
This volume, first published in 2000, contains a collection of survey papers providing an introduction for graduate students and researchers in these fields.
| Author | : Jan Van Eijck |
| Publisher | : Cambridge University Press |
| Total Pages | : |
| Release | : 2017-03-30 |
| Genre | : Mathematics |
| ISBN | : 1108583482 |
Download Logic Colloquium '99 Book in PDF, ePub and Kindle
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the seventeenth publication in the Lecture Notes in Logic series, collects the proceedings of the European Summer Meeting of the Association for Symbolic Logic, held in Utrecht, The Netherlands in August, 1999. It includes surveys and research articles from some of the world's preeminent logicians. Two long articles are based on tutorials given at the meeting and present accessible expositions of current research in geometric model theory and the descriptive set theory of group actions. The other articles cover current research topics in all areas of mathematical logic, including proof theory, set theory, model theory, computability theory and philosophy.
| Author | : Su Gao |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 93 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : 0821831909 |
Download On the Classification of Polish Metric Spaces Up to Isometry Book in PDF, ePub and Kindle
| Author | : Joan Bagaria |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 408 |
| Release | : 2006-09-05 |
| Genre | : Mathematics |
| ISBN | : 3764376929 |
Download Set Theory Book in PDF, ePub and Kindle
Contains survey papers on some of the mainstream areas of set theory and research. This book covers topics such as Omega-logic, applications of set theory to lattice theory and Boolean algebras, real-valued measurable cardinals, complexity of sets and relations in continuum theory, weak subsystems of axiomatic set theory, and more.
