LEADER 01705nam 2200313Ia 450 001 996390650303316 005 20200824132044.0 035 $a(CKB)4940000000098345 035 $a(EEBO)2264196962 035 $a(OCoLC)ocm9547103e 035 $a(OCoLC)9547103 035 $a(EXLCZ)994940000000098345 100 $a19830525d1651 uy | 101 0 $aeng 135 $aurbn||||a|bb| 200 14$aThe petition and argvment of Mr. Hotham, fellow of Peter-house in Cambridge, before the Committee for Reformation of the Universities, April 10, 1651$b[electronic resource] $eagainst the masters negative voice of that colledge, and for a remedy to be granted the colledge against the usurpations of Doctor Seaman the present master, agreeable to what was granted the colledge against the usurpations of Doctor Seaman the present master, agreeable to what was granted by Parliament to the city of London, an. Dom. 1648 for the better enabling them in case of need to act as a free body without their chief officers concurrence 210 $aLondon $cPrinted for Giles Calvert$d1651 215 $a[12], 48 p 300 $a"Published for satisfaction to such of the university as may possibly be desirous of a true knowledge of that days proceedings." 300 $aReproduction of original in the Cambridge University Library. 330 $aeebo-0021 700 $aHotham$b Charles$f1615-1672?$01007719 801 0$bUMI 801 1$bUMI 801 2$bWaOLN 906 $aBOOK 912 $a996390650303316 996 $aThe petition and argvment of Mr. Hotham, fellow of Peter-house in Cambridge, before the Committee for Reformation of the Universities, April 10, 1651$92414712 997 $aUNISA LEADER 04132nam 22006135 450 001 9910965757803321 005 20250725083319.0 010 $a1-4612-4190-1 024 7 $a10.1007/978-1-4612-4190-4 035 $a(CKB)3400000000090740 035 $a(SSID)ssj0001296104 035 $a(PQKBManifestationID)11735163 035 $a(PQKBTitleCode)TC0001296104 035 $a(PQKBWorkID)11347219 035 $a(PQKB)10740121 035 $a(DE-He213)978-1-4612-4190-4 035 $a(MiAaPQ)EBC3076179 035 $a(PPN)23803965X 035 $a(EXLCZ)993400000000090740 100 $a20121227d1995 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aClassical Descriptive Set Theory /$fby Alexander Kechris 205 $a1st ed. 1995. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d1995. 215 $a1 online resource (XVIII, 404 p.) 225 1 $aGraduate Texts in Mathematics,$x2197-5612 ;$v156 300 $a"With 34 illustrations." 311 08$a0-387-94374-9 311 08$a1-4612-8692-1 320 $aIncludes bibliographical references and index. 327 $aI 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. 330 $aDescriptive set theory has been one of the main areas of research in set theory for almost a century. This text attempts to present a largely balanced approach, which combines many elements of the different traditions of the subject. It includes a wide variety of examples, exercises (over 400), and applications, in order to illustrate the general concepts and results of the theory. This text provides a first basic course in classical descriptive set theory and covers material with which mathematicians interested in the subject for its own sake or those that wish to use it in their field should be familiar. Over the years, researchers in diverse areas of mathematics, such as logic and set theory, analysis, topology, probability theory, etc., have brought to the subject of descriptive set theory their own intuitions, concepts, terminology and notation. 410 0$aGraduate Texts in Mathematics,$x2197-5612 ;$v156 606 $aLogic, Symbolic and mathematical 606 $aTopology 606 $aMathematical Logic and Foundations 606 $aTopology 615 0$aLogic, Symbolic and mathematical. 615 0$aTopology. 615 14$aMathematical Logic and Foundations. 615 24$aTopology. 676 $a511.3 700 $aKechris$b A. S.$f1946-$4aut$4http://id.loc.gov/vocabulary/relators/aut$060944 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910965757803321 996 $aClassical descriptive set theory$9375578 997 $aUNINA