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Theory of relations
The first part of this book concerns the present state of the theory of chains (= total or linear orderings), in connection with some refinements of Ramsey's theorem, due to Galvin and Nash-Williams. This leads to the fundamental Laver's embeddability theorem for scattered chains, using Na...
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| Lenguaje: | eng |
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Elsevier Science
2011
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| Acceso en línea: | http://cds.cern.ch/record/1663315 |
| _version_ | 1780935201983037440 |
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| author | Fraïssé, R |
| author_facet | Fraïssé, R |
| author_sort | Fraïssé, R |
| collection | CERN |
| description | The first part of this book concerns the present state of the theory of chains (= total or linear orderings), in connection with some refinements of Ramsey's theorem, due to Galvin and Nash-Williams. This leads to the fundamental Laver's embeddability theorem for scattered chains, using Nash-Williams' better quasi-orderings, barriers and forerunning.The second part (chapters 9 to 12) extends to general relations the main notions and results from order-type theory. An important connection appears with permutation theory (Cameron, Pouzet, Livingstone and Wagner) and with logics (existence criter |
| id | cern-1663315 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2011 |
| publisher | Elsevier Science |
| record_format | invenio |
| spelling | cern-16633152021-04-21T21:20:00Zhttp://cds.cern.ch/record/1663315engFraïssé, RTheory of relationsMathematical Physics and MathematicsThe first part of this book concerns the present state of the theory of chains (= total or linear orderings), in connection with some refinements of Ramsey's theorem, due to Galvin and Nash-Williams. This leads to the fundamental Laver's embeddability theorem for scattered chains, using Nash-Williams' better quasi-orderings, barriers and forerunning.The second part (chapters 9 to 12) extends to general relations the main notions and results from order-type theory. An important connection appears with permutation theory (Cameron, Pouzet, Livingstone and Wagner) and with logics (existence criterElsevier Scienceoai:cds.cern.ch:16633152011 |
| spellingShingle | Mathematical Physics and Mathematics Fraïssé, R Theory of relations |
| title | Theory of relations |
| title_full | Theory of relations |
| title_fullStr | Theory of relations |
| title_full_unstemmed | Theory of relations |
| title_short | Theory of relations |
| title_sort | theory of relations |
| topic | Mathematical Physics and Mathematics |
| url | http://cds.cern.ch/record/1663315 |
| work_keys_str_mv | AT fraisser theoryofrelations |