Notes on forcing axioms:
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| Main Author: | |
|---|---|
| Other Authors: | , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
[Hackensack] New Jersey
World Scientific
[2014]
|
| Series: | Lecture notes series (National University of Singapore. Institute for Mathematical Sciences)
v. 26 |
| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | Description based on print version record |
| Physical Description: | 1 online resource (xiii, 219 pages) |
| ISBN: | 9789814571579 9789814571586 9814571571 981457158X |
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| 100 | 1 | |a Todorcevic, Stevo |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Notes on forcing axioms |c Stevo Todorcevic, University of Toronto, Canada ; editors, Chitat Chong, Qi Feng, Yue Yang, National University of Singapore, Singapore, Theodore A. Slaman, W Hugh Woodin, University of California, Berkeley, USA. |
| 264 | 1 | |a [Hackensack] New Jersey |b World Scientific |c [2014] | |
| 264 | 4 | |c © 2014 | |
| 300 | |a 1 online resource (xiii, 219 pages) | ||
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| 490 | 0 | |a Lecture notes series (National University of Singapore. Institute for Mathematical Sciences) |v v. 26 | |
| 500 | |a Description based on print version record | ||
| 505 | 8 | |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 rather than on the relationship between different forcing axioms or their consistency strengths | |
| 505 | 8 | |a 1. Baire category theorem and the Baire category numbers -- 2. Coding sets by the real numbers -- 3. Consequences in descriptive set theory -- 4. Consequences in measure theory -- 5. Variations on the Souslin hypothesis -- 6. The S-s-paces and the L-spaces -- 7. The side-condition method -- 8. Ideal dichotomies -- 9. Coherent and Lipschitz trees -- 10. Applications to the S-space problem and the von Neumann problem -- 11. Biorthogonal systems -- 12. Structure of compact spaces -- 13. Ramsey theory on ordinals -- 14. Five cofinal types -- 15. Five linear orderings -- 16. Cardinal arithmetic and mm -- 17. Reflection principles | |
| 650 | 7 | |a MATHEMATICS / General |2 bisacsh | |
| 650 | 4 | |a Forcing (Model theory) | |
| 650 | 4 | |a Axioms | |
| 650 | 4 | |a Baire classes | |
| 700 | 1 | |a Chong, C.-T. |e Sonstige |4 oth | |
| 700 | 1 | |a Feng, Qi |d 1955- |4 edt | |
| 700 | 1 | |a Yang, Yue |d 1964- |4 edt | |
| 700 | 1 | |a Slaman, T. A. |e Sonstige |4 oth | |
| 700 | 1 | |a Woodin, W. H. |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |a Todorcevic, Stevo |t Notes on forcing axioms |
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Record in the Search Index
| _version_ | 1804175400425750528 |
|---|---|
| any_adam_object | |
| author | Todorcevic, Stevo |
| author2 | Feng, Qi 1955- Yang, Yue 1964- |
| author2_role | edt edt |
| author2_variant | q f qf y y yy |
| author_facet | Todorcevic, Stevo Feng, Qi 1955- Yang, Yue 1964- |
| author_role | aut |
| author_sort | Todorcevic, Stevo |
| author_variant | s t st |
| building | Verbundindex |
| bvnumber | BV043038472 |
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| contents | 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 1. Baire category theorem and the Baire category numbers -- 2. Coding sets by the real numbers -- 3. Consequences in descriptive set theory -- 4. Consequences in measure theory -- 5. Variations on the Souslin hypothesis -- 6. The S-s-paces and the L-spaces -- 7. The side-condition method -- 8. Ideal dichotomies -- 9. Coherent and Lipschitz trees -- 10. Applications to the S-space problem and the von Neumann problem -- 11. Biorthogonal systems -- 12. Structure of compact spaces -- 13. Ramsey theory on ordinals -- 14. Five cofinal types -- 15. Five linear orderings -- 16. Cardinal arithmetic and mm -- 17. Reflection principles |
| ctrlnum | (OCoLC)869457463 (DE-599)BVBBV043038472 |
| dewey-full | 511.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3 |
| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:15:41Z |
| institution | BVB |
| isbn | 9789814571579 9789814571586 9814571571 981457158X |
| language | English |
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| spelling | Todorcevic, Stevo Verfasser aut Notes on forcing axioms Stevo Todorcevic, University of Toronto, Canada ; editors, Chitat Chong, Qi Feng, Yue Yang, National University of Singapore, Singapore, Theodore A. Slaman, W Hugh Woodin, University of California, Berkeley, USA. [Hackensack] New Jersey World Scientific [2014] © 2014 1 online resource (xiii, 219 pages) txt rdacontent c rdamedia cr rdacarrier Lecture notes series (National University of Singapore. Institute for Mathematical Sciences) v. 26 Description based on print version record 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 1. Baire category theorem and the Baire category numbers -- 2. Coding sets by the real numbers -- 3. Consequences in descriptive set theory -- 4. Consequences in measure theory -- 5. Variations on the Souslin hypothesis -- 6. The S-s-paces and the L-spaces -- 7. The side-condition method -- 8. Ideal dichotomies -- 9. Coherent and Lipschitz trees -- 10. Applications to the S-space problem and the von Neumann problem -- 11. Biorthogonal systems -- 12. Structure of compact spaces -- 13. Ramsey theory on ordinals -- 14. Five cofinal types -- 15. Five linear orderings -- 16. Cardinal arithmetic and mm -- 17. Reflection principles MATHEMATICS / General bisacsh Forcing (Model theory) Axioms Baire classes Chong, C.-T. Sonstige oth Feng, Qi 1955- edt Yang, Yue 1964- edt Slaman, T. A. Sonstige oth Woodin, W. H. Sonstige oth Erscheint auch als Druck-Ausgabe Todorcevic, Stevo Notes on forcing axioms http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=689761 Aggregator Volltext |
| spellingShingle | Todorcevic, Stevo 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 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 1. Baire category theorem and the Baire category numbers -- 2. Coding sets by the real numbers -- 3. Consequences in descriptive set theory -- 4. Consequences in measure theory -- 5. Variations on the Souslin hypothesis -- 6. The S-s-paces and the L-spaces -- 7. The side-condition method -- 8. Ideal dichotomies -- 9. Coherent and Lipschitz trees -- 10. Applications to the S-space problem and the von Neumann problem -- 11. Biorthogonal systems -- 12. Structure of compact spaces -- 13. Ramsey theory on ordinals -- 14. Five cofinal types -- 15. Five linear orderings -- 16. Cardinal arithmetic and mm -- 17. Reflection principles MATHEMATICS / General bisacsh Forcing (Model theory) Axioms Baire classes |
| title | Notes on forcing axioms |
| title_auth | Notes on forcing axioms |
| title_exact_search | Notes on forcing axioms |
| title_full | Notes on forcing axioms Stevo Todorcevic, University of Toronto, Canada ; editors, Chitat Chong, Qi Feng, Yue Yang, National University of Singapore, Singapore, Theodore A. Slaman, W Hugh Woodin, University of California, Berkeley, USA. |
| title_fullStr | Notes on forcing axioms Stevo Todorcevic, University of Toronto, Canada ; editors, Chitat Chong, Qi Feng, Yue Yang, National University of Singapore, Singapore, Theodore A. Slaman, W Hugh Woodin, University of California, Berkeley, USA. |
| title_full_unstemmed | Notes on forcing axioms Stevo Todorcevic, University of Toronto, Canada ; editors, Chitat Chong, Qi Feng, Yue Yang, National University of Singapore, Singapore, Theodore A. Slaman, W Hugh Woodin, University of California, Berkeley, USA. |
| title_short | Notes on forcing axioms |
| title_sort | notes on forcing axioms |
| topic | MATHEMATICS / General bisacsh Forcing (Model theory) Axioms Baire classes |
| topic_facet | MATHEMATICS / General Forcing (Model theory) Axioms Baire classes |
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