Invariant Descriptive Set Theory And The Topological Approach To Model Theory
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Classical Descriptive Set Theory
| Author | : Alexander Kechris |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 419 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461241901 |
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.
Invariant Descriptive Set Theory
| Author | : Su Gao |
| Publisher | : CRC Press |
| Total Pages | : 392 |
| Release | : 2008-09-03 |
| Genre | : Mathematics |
| ISBN | : 9781584887942 |
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
Scientific and Technical Aerospace Reports
| Author | : |
| Publisher | : |
| Total Pages | : 816 |
| Release | : 1989 |
| Genre | : Aeronautics |
| ISBN | : |
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Model-Theoretic Logics
| Author | : J. Barwise |
| Publisher | : Cambridge University Press |
| Total Pages | : 913 |
| Release | : 2017-03-02 |
| Genre | : Mathematics |
| ISBN | : 1316739392 |
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 eighth publication in the Perspectives in Logic series, brings together several directions of work in model theory between the late 1950s and early 1980s. It contains expository papers by pre-eminent researchers. Part I provides an introduction to the subject as a whole, as well as to the basic theory and examples. The rest of the book addresses finitary languages with additional quantifiers, infinitary languages, second-order logic, logics of topology and analysis, and advanced topics in abstract model theory. Many chapters can be read independently.
Transactions of the American Mathematical Society
| Author | : American Mathematical Society |
| Publisher | : |
| Total Pages | : 1756 |
| Release | : 1983 |
| Genre | : Mathematics |
| ISBN | : |
Monthly journal devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American Mathematical Society.
Geometric Set Theory
| Author | : Paul B. Larson |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 330 |
| Release | : 2020-07-16 |
| Genre | : Education |
| ISBN | : 1470454629 |
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.
