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NOTES ON FORCING AXIOMS.
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 Boundedne...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
WSPC,
2013.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 1 | 0 | |a NOTES ON FORCING AXIOMS. |
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| 520 | |a 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. | ||
| 505 | 0 | |a Foreword by Series Editors; Foreword by Volume Editors; Preface; 1 Baire Category Theorem and the Baire Category Numbers; 1.1 The Baire category method -- a classical example; 1.2 Baire category numbers; 1.3 P-clubs; 1.4 Baire category numbers of posets; 1.5 Proper and semi-proper posets; 2 Coding Sets by the Real Numbers; 2.1 Almost-disjoint coding; 2.2 Coding families of unordered pairs of ordinals; 2.3 Coding sets of ordered pairs; 2.4 Strong coding; 2.5 Solovay's lemma and its corollaries; 3 Consequences in Descriptive Set Theory; 3.1 Borel isomorphisms between Polish spaces. | |
| 505 | 8 | |a 7.2 Open graph axiom8 Ideal Dichotomies; 8.1 Small ideal dichotomy; 8.2 Sparse set-mapping principle; 8.3 P-ideal dichotomy; 9 Coherent and Lipschitz Trees; 9.1 The Lipschitz condition; 9.2 Filters and trees; 9.3 Model rejecting a finite set of nodes; 9.4 Coloring axiom for coherent trees; 10 Applications to the S-space Problem and the von Neumann Problem; 10.1 The S-space problem and its relatives; 10.2 The P-ideal dichotomy and a problem of von Neumann; 11 Biorthogonal Systems; 11.1 The quotient problem; 11.2 A topological property of the dual ball; 11.3 A problem of Rolewicz. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Forcing (Model theory) | |
| 650 | 0 | |a Axioms. | |
| 650 | 0 | |a Baire classes. | |
| 650 | 6 | |a Forcing (Théorie des modèles) | |
| 650 | 6 | |a Axiomes. | |
| 650 | 6 | |a Classes de Baire. | |
| 650 | 7 | |a Axioms |2 fast | |
| 650 | 7 | |a Baire classes |2 fast | |
| 650 | 7 | |a Forcing (Model theory) |2 fast | |
| 758 | |i has work: |a Notes on forcing axioms (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFJRydfmbwVTWjc8fK8dXq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |z 9781306396578 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1611985 |z Texto completo |
| 938 | |a EBL - Ebook Library |b EBLB |n EBL1611985 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n cis27396242 | ||
| 994 | |a 92 |b IZTAP | ||