Name: Combinatorial set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics) (en Inglés)
Price: 170.52 USD
Availability: InStock
Author: Lorenz J. Halbeisen
ISBN: 9783319602301

portada Combinatorial set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics) (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Lorenz J. Halbeisen

Año

2017

Idioma

Inglés

N° páginas

594

Encuadernación

Tapa Dura

ISBN13

9783319602301

N° edición

Categorías

Lógica matemática

Combinatorial set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics) (en Inglés)

Lorenz J. Halbeisen (Autor) · Springer · Tapa Dura

Libro Físico

$ 170.52

$ 179.99

Ahorras: $ 9.47

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Reseña del libro "Combinatorial set Theory: With a Gentle Introduction to Forcing (Springer Monographs in Mathematics) (en Inglés)"

This book, now in a thoroughly revised second edition, provides a comprehensive and accessible introduction to modern set theory.Following an overview of basic notions in combinatorics and first-order logic, the author outlines the main topics of classical set theory in the second part, including Ramsey theory and the axiom of choice. Here the new edition has been extended to contain a new Shelah-type permutation model in order to prove the consistency of a surprising relation between two cardinals in set theory without the axiom of choice. The third part explains the sophisticated technique of forcing in great detail, now including a separate chapter on Suslin?s problem. The technique is used to show that certain statements, such as the continuum hypothesis, are neither provable nor disprovable from the axioms of set theory. In the final part, some topics of classical set theory are revisited and further developed in light of forcing, with new chapters on Sacks Forcing and Shelah?s astonishing construction of a model with finitely many Ramsey ultrafilters.Written for graduate students in axiomatic set theory, Combinatorial Set Theory will appeal to all researchers interested in the foundations of mathematics. With extensive reference lists and historical remarks at the end of each chapter, this book is suitable for self-study.