NOTES ON FORCING AXIOMS (Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore) - Hardcover

Todorcevic, Stevo

Hardcover

ISBN 10: 9814571571 ISBN 13: 9789814571579

Publisher: World Scientific Publishing Company, 2014

Synopsis

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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From the Back Cover

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 that on the relationship between different forcing axioms or their consistency strengths.

Edition details

• Publisher: World Scientific Publishing Company
• Publication date: 2014
• Language: English
• ISBN 10: 9814571571
• ISBN 13: 9789814571579
• Binding: Hardcover
• Number of pages: 236
• Editor: Chong Chi Tat, Feng Qi, Slaman Theodore A, Woodin W Hugh, Yang Yue