Technical Invariant Descriptive Set Theory (1584887931)

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Su Gao, "Invariant Descriptive Set Theory"

Exploring 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 mathematics, such as algebra, topology, and logic, which have diverse applications to other fields.

After reviewing classical and effective descriptive set theory, the text studies Polish groups and their actions. It then covers Borel reducibility results on Borel, orbit, and general definable equivalence relations. The author also provides proofs for numerous fundamental results, such as the Glimm–Effros dichotomy, the Burgess trichotomy theorem, and the Hjorth turbulence theorem. The next part describes connections with the countable model theory of infinitary logic, along with Scott analysis and the isomorphism relation on natural classes of countable models, such as graphs, trees, and groups. The book concludes with applications to classification problems and many benchmark equivalence relations.

By illustrating the relevance of invariant descriptive set theory to other fields of mathematics, this self-contained book encourages readers to further explore this very active area of research.

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	Multiplicative Invariant Theory Martin Lorenz, "Multiplicative Invariant Theory"Springer; 1 edition (April 19, 2005) \| ISBN:3540243232 \| 177 pages \| PDF \| 12,4 MbMultiplicative invariant theory, as a research area in its own right within the wider spectrum of invariant ...
	Science/Engineering Set Theory, with an Introduction to Descriptive Set Theory Kazimierz Kuratowski, Andrzej Mostowski "Set Theory, with an Introduction to Descriptive Set Theory" North-Holland \| 1976 \| ISBN: 0720404703 \| 514 pages \| Djvu \| 7,6 MB --- Want to thank - download from my links --- --- No ...
	Science/Engineering Classical Descriptive Set Theory Classical Descriptive Set TheoryPublisher: Springer \| Pages: 428 \| 1995-01-06 \| ISBN 0387943749 \| DJVU \| 3 MBDescriptive set theory has been one of the main areas of research in set theory for almost a century. This text attempts t ...
	Science/Engineering Lectures on Invariant Theory Lectures on Invariant TheoryCambridge University Press \| August 25, 2003 \| ISBN-10: 0521525489 \| 236 pages \| PDF \| 1.47 mbThis introduction to the main ideas of algebraic and geometric invariant theory assumes only a minimal background in a ...
	Science/Engineering Geometric Invariant Theory David Mumford, John Fogarty, Frances Clare Kirwan, "Geometric Invariant Theory"Publisher: Springer; 3rd edition \| 1994-03 \| 305 Pages \| ISBN: 0387569634 \| Djvu \| 5 MB"Geometric Invariant Theory" by Mumford/Fogarty (the first edition was pu ...
	Science/Engineering Invariant Theory Mara D. Neusel, "Invariant Theory" American Mathematical Society \| 2006 \| ISBN: 0821841327 \| 314 pages \| Djvu \| 2,7 MB This book presents the characteristic zero invariant theory of finite groups acting linearly on polynomial algebras. ...

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	Multiplicative Invariant Theory Martin Lorenz, "Multiplicative Invariant Theory"Springer; 1 edition (April 19, 2005) \| ISBN:3540243232 \| 177 pages \| PDF \| 12,4 MbMultiplicative invariant theory, as a research area in its own right within the wider spectrum of invariant ...
	Science/Engineering Set Theory, with an Introduction to Descriptive Set Theory Kazimierz Kuratowski, Andrzej Mostowski "Set Theory, with an Introduction to Descriptive Set Theory" North-Holland \| 1976 \| ISBN: 0720404703 \| 514 pages \| Djvu \| 7,6 MB --- Want to thank - download from my links --- --- No ...
	Science/Engineering Classical Descriptive Set Theory Classical Descriptive Set TheoryPublisher: Springer \| Pages: 428 \| 1995-01-06 \| ISBN 0387943749 \| DJVU \| 3 MBDescriptive set theory has been one of the main areas of research in set theory for almost a century. This text attempts t ...
	Science/Engineering Lectures on Invariant Theory Lectures on Invariant TheoryCambridge University Press \| August 25, 2003 \| ISBN-10: 0521525489 \| 236 pages \| PDF \| 1.47 mbThis introduction to the main ideas of algebraic and geometric invariant theory assumes only a minimal background in a ...
	Science/Engineering Geometric Invariant Theory David Mumford, John Fogarty, Frances Clare Kirwan, "Geometric Invariant Theory"Publisher: Springer; 3rd edition \| 1994-03 \| 305 Pages \| ISBN: 0387569634 \| Djvu \| 5 MB"Geometric Invariant Theory" by Mumford/Fogarty (the first edition was pu ...
	Science/Engineering Invariant Theory Mara D. Neusel, "Invariant Theory" American Mathematical Society \| 2006 \| ISBN: 0821841327 \| 314 pages \| Djvu \| 2,7 MB This book presents the characteristic zero invariant theory of finite groups acting linearly on polynomial algebras. ...

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