04212nam 22005775 450 991078922410332120200701165917.01-4612-4190-110.1007/978-1-4612-4190-4(CKB)3400000000090740(SSID)ssj0001296104(PQKBManifestationID)11735163(PQKBTitleCode)TC0001296104(PQKBWorkID)11347219(PQKB)10740121(DE-He213)978-1-4612-4190-4(MiAaPQ)EBC3076179(PPN)23803965X(EXLCZ)99340000000009074020121227d1995 u| 0engurnn|008mamaatxtccrClassical Descriptive Set Theory[electronic resource] /by Alexander Kechris1st ed. 1995.New York, NY :Springer New York :Imprint: Springer,1995.1 online resource (XVIII, 404 p.) Graduate Texts in Mathematics,0072-5285 ;156"With 34 illustrations."0-387-94374-9 1-4612-8692-1 Includes bibliographical references and index.I Polish Spaces -- 1. Topological and Metric Spaces -- 2. Trees -- 3. Polish Spaces -- 4. Compact Metrizable Spaces -- 5. Locally Compact Spaces -- 6. Perfect Polish Spaces -- 7.Zero-dimensional Spaces -- 8. Baire Category -- 9. Polish Groups -- II Borel Sets -- 10. Measurable Spaces and Functions -- 11. Borel Sets and Functions -- 12. Standard Borel Spaces -- 13. Borel Sets as Clopen Sets -- 14. Analytic Sets and the Separation Theorem -- 15. Borel Injections and Isomorphisms -- 16. Borel Sets and Baire Category -- 17. Borel Sets and Measures -- 18. Uniformization Theorems -- 19. Partition Theorems -- 20. Borel Determinacy -- 21. Games People Play -- 22. The Borel Hierarchy -- 23. Some Examples -- 24. The Baire Hierarchy -- III Analytic Sets -- 25. Representations of Analytic Sets -- 26. Universal and Complete Sets -- 27. Examples -- 28. Separation Theorems -- 29. Regularity Properties -- 30. Capacities -- 31. Analytic Well-founded Relations -- IV Co-Analytic Sets -- 32. Review -- 33. Examples -- 34. Co-Analytic Ranks -- 35. Rank Theory -- 36. Scales and Uniformiiatiou -- V Projective Sets -- 37. The Projective Hierarchy -- 38. Projective Determinacy -- 39. The Periodicity Theorems -- 40. Epilogue -- Appendix A. Ordinals and Cardinals -- Appendix B. Well-founded Relations -- Appendix C. On Logical Notation -- Notes and Hints -- References -- Symbols and Abbreviations.Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text attempts to present a largely balanced approach, which combines many elements of the different traditions of the subject. It includes a wide variety of examples, exercises (over 400), and applications, in order to illustrate the general concepts and results of the theory. This text provides a first basic course in classical descriptive set theory and covers material with which mathematicians interested in the subject for its own sake or those that wish to use it in their field should be familiar. Over the years, researchers in diverse areas of mathematics, such as logic and set theory, analysis, topology, probability theory, etc., have brought to the subject of descriptive set theory their own intuitions, concepts, terminology and notation.Graduate Texts in Mathematics,0072-5285 ;156Mathematical logicTopologyMathematical Logic and Foundationshttps://scigraph.springernature.com/ontologies/product-market-codes/M24005Topologyhttps://scigraph.springernature.com/ontologies/product-market-codes/M28000Mathematical logic.Topology.Mathematical Logic and Foundations.Topology.511.3Kechris Alexanderauthttp://id.loc.gov/vocabulary/relators/aut60944BOOK9910789224103321Classical descriptive set theory375578UNINA01023nam0 22002651i 450 UON0030570820231205104030.93205-214-7763-820071214d1994 |0itac50 baengGB|||| ||||| Politics at the marginhistorical studies of public expresion outside the mainstream Susan HerbstCambridgeCambridge University Press1994X, 231 p.ill.22 cm.COMUNICAZIONE POLITICAUONC058257FICambridgeUONL000022HERBSTSusanUONV176712541995Cambridge University PressUONV245943650ITSOL20250620RICASIBA - SISTEMA BIBLIOTECARIO DI ATENEOUONSIUON00305708SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI EUR D B 0436 SI SC 43264 5 0436 BuonoPolitics at the margin1377868UNIOR