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Invariant Descriptive Set Theory (Pure and Applied Mathematics) - Tapa blanda

Libro 40 de 70: Chapman & Hall/CRC Pure and Applied Mathematics

Gao, Su

 
9780367386962: Invariant Descriptive Set Theory (Pure and Applied Mathematics)
Tapa blanda
ISBN 10: 0367386968 ISBN 13: 9780367386962
Editorial: Chapman and Hall/CRC, 2019

Sinopsis

Presents Results from a Very Active Area of Research

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Gao, Su

De la contraportada

Bringing together techniques from various areas of mathematics, this book presents an introduction to the basic concepts, methods, and results of invariant descriptive set theory. It reviews classical and effective descriptive set theory; studies Polish groups and their actions; and covers Borel reducibility results on Borel, orbit, and general definable equivalence relations. The author also describes infinitary logic, Scott analysis, and the isomorphism relation on natural classes of countable models. The book concludes with applications to classification problems and many benchmark equivalence relations. It also contains a large number of exercises at the end of most sections.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Chapman and Hall/CRC
Año de publicación
2019
Idioma
Inglés
ISBN 10 
0367386968
ISBN 13 
9780367386962
Encuadernación
Tapa blanda
Número de edición
1
Número de páginas
392
Contacto del fabricante
Taylor and Francis, GPSR Taylor and Francis
gpsr@taylorandfrancis.com

Taylor & Francis Verlag GmbH, Kaufingerstraße 24
München
80331
Alemania