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Combinatorial set theory : with a gentle introduction to forcing


Halbeisen, L J (2012). Combinatorial set theory : with a gentle introduction to forcing. London: Springer.

Abstract

This book provides a self-contained introduction to modern set theory and also opens up some more advanced areas of current research in this field. The first part offers an overview of classical set theory wherein the focus lies on the axiom of choice and Ramsey theory. In the second part, the sophisticated technique of forcing, originally developed by Paul Cohen, is explained in great detail. With this technique, one can show that certain statements, like the continuum hypothesis, are neither provable nor disprovable from the axioms of set theory. In the last part, some topics of classical set theory are revisited and further developed in the light of forcing.

Abstract

This book provides a self-contained introduction to modern set theory and also opens up some more advanced areas of current research in this field. The first part offers an overview of classical set theory wherein the focus lies on the axiom of choice and Ramsey theory. In the second part, the sophisticated technique of forcing, originally developed by Paul Cohen, is explained in great detail. With this technique, one can show that certain statements, like the continuum hypothesis, are neither provable nor disprovable from the axioms of set theory. In the last part, some topics of classical set theory are revisited and further developed in the light of forcing.

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Additional indexing

Item Type:Monograph
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2012
Deposited On:17 Feb 2012 20:54
Last Modified:12 Aug 2017 17:32
Publisher:Springer
Series Name:Springer Monographs in Mathematics
Number of Pages:453
ISBN:978-1-4471-2172-5
Publisher DOI:https://doi.org/10.1007/978-1-4471-2173-2
Related URLs:http://www.springer.com/mathematics/book/978-1-4471-2172-5 (Publisher)

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