| eBook ISBN: | 978-1-4704-0262-4 |
| Product Code: | MEMO/141/671.E |
| List Price: | $59.00 |
| MAA Member Price: | $53.10 |
| AMS Member Price: | $35.40 |
| eBook ISBN: | 978-1-4704-0262-4 |
| Product Code: | MEMO/141/671.E |
| List Price: | $59.00 |
| MAA Member Price: | $53.10 |
| AMS Member Price: | $35.40 |
-
Book DetailsMemoirs of the American Mathematical SocietyVolume: 141; 1999; 167 ppMSC: Primary 03
Abstract. In this Memoir we present a systematic study of the method of norms on possibilities of building forcing notions with keeping their properties under full control. This technique allows us to answer several open problems, but on our way to get the solutions we develop various ideas interesting per se. These include a new iterable condition for “not adding Cohen reals” (which has a flavour of preserving special properties of \(p\)-points), new intriguing properties of ultrafilters (weaker than being Ramsey but stronger than \(p\)–point) and some new applications of variants of the PP–property.
ReadershipGraduate students and research mathematicians interested in mathematical logic and foundations.
-
Table of Contents
-
Chapters
-
0. Introduction
-
1. Basic definitions
-
2. Properness and the reading of names
-
3. More properties
-
4. Omittory with Halving
-
5. Around not adding Cohen reals
-
6. Playing with ultrafilters
-
7. Friends and relatives of PP
-
-
RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
Abstract. In this Memoir we present a systematic study of the method of norms on possibilities of building forcing notions with keeping their properties under full control. This technique allows us to answer several open problems, but on our way to get the solutions we develop various ideas interesting per se. These include a new iterable condition for “not adding Cohen reals” (which has a flavour of preserving special properties of \(p\)-points), new intriguing properties of ultrafilters (weaker than being Ramsey but stronger than \(p\)–point) and some new applications of variants of the PP–property.
Graduate students and research mathematicians interested in mathematical logic and foundations.
-
Chapters
-
0. Introduction
-
1. Basic definitions
-
2. Properness and the reading of names
-
3. More properties
-
4. Omittory with Halving
-
5. Around not adding Cohen reals
-
6. Playing with ultrafilters
-
7. Friends and relatives of PP
