Combinatorial Set Theory. With a Gentle Introduction to Forcing
2nd edition
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- Nombre de pages594
- PrésentationRelié
- Poids1.06 kg
- Dimensions16,0 cm × 24,0 cm × 4,0 cm
- ISBN978-3-319-60230-1
- EAN9783319602301
- Date de parution01/01/2017
- CollectionMonographs in Mathematics
- ÉditeurSpringer Nature
Résumé
The third part explains the sophisticated technique of forcing in great detail, now including a separate chapter on Suslin's problem. The technique is used to show that certain statements are neither provable nor disprovable from the axioms of set theory. In the final part, some topics of classical set theory are revisited and further developed in light of forcing, with new chapters on Sacks Forcing and Shelah's astonishing construction of a model with finitely many Ramsey ultrafilters.
Written for graduate students in axiomatic set theory, Combinatorial Set Theory will appeal to all researchers interested in the foundations of mathematics. With extensive reference lists and historical remarks at the end of each chapter, this book is suitable for self-study.