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Foundations of Mathematics.
This volume contains the proceedings of the Logic at Harvard conference in honor of W. Hugh Woodin's 60th birthday, held March 27-29, 2015, at Harvard University. It presents a collection of papers related to the work of Woodin, who has been one of the leading figures in set theory since the ea...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
2017.
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| Colección: | Contemporary Mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 6. Applications to extreme amenability and calculation of the universal minimal flow7. Reformulation of the Ramsey Property for homogeneous measure algebras; References; Topological Ramsey numbers and countable ordinals; 1. Introduction; 2. Preliminaries; 3. The closed pigeonhole principle for ordinals; 4. The ordinal omega plus one; 5. Stepping up by one; 6. Ordinals less than omega squared; 7. The ordinal omega squared; 8. The anti-tree partial ordering on ordinals; 9. The ordinal omega squared plus one; 10. The weak topological Erdős-Milner theorem; 11. Questions; References.
- Open determinacy for class games1. Introduction; 2. A broader context; 3. The truth-telling game; 4. Clopen determinacy is equivalent over \GBC to \ETR; 5. Proving open determinacy in strong theories; 6. Questions; References; Open problems on ultrafilters and some connections to the continuum; 1. The cut spectrum; 2. A uniqueness theorem; 3. On internal maps; 4. Bases for goodness; Appendix; References; Obtaining Woodin's cardinals; 1. Introduction; 2. The Cantorian versus the Zermelian realms; 3. Reflection; 4. The Ackermannian realm and reflection; 5. Global Reflection.