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Notes on Forcing Axioms

Notes on Forcing Axioms

Hardcover

Series: Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore, Book 26

FictionGeneral Mathematics

ISBN10: 9814571571
ISBN13: 9789814571579
Publisher: World Scientific Publishing Company
Published: Jan 9 2014
Pages: 236
Weight: 1.25
Height: 0.90 Width: 6.30 Depth: 9.10
Language: English
In the mathematical practice, the Baire category method is a tool for establishing the existence of a rich array of generic structures. However, in mathematics, the Baire category method is also behind a number of fundamental results such as the Open Mapping Theorem or the Banach-Steinhaus Boundedness Principle. This volume brings the Baire category method to another level of sophistication via the internal version of the set-theoretic forcing technique. It is the first systematic account of applications of the higher forcing axioms with the stress on the technique of building forcing notions rather than on the relationship between different forcing axioms or their consistency strengths.

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