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.
- ISBN10 9814571598
- ISBN13 9789814571593
- Publish Date 26 December 2013 (first published 1 January 2013)
- Publish Status Active
- Imprint World Scientific Publishing Company
- Format eBook
- Pages 236
- Language English